MAYBE

Problem:
 active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
 active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
 active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
 active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
 active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
 active(U106(tt())) -> mark(tt())
 active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
 active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
 active(U112(tt())) -> mark(tt())
 active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
 active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
 active(U122(tt())) -> mark(tt())
 active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
 active(U131(tt())) -> mark(tt())
 active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
 active(U141(tt())) -> mark(tt())
 active(U151(tt())) -> mark(tt())
 active(U161(tt())) -> mark(tt())
 active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
 active(U172(tt())) -> mark(tt())
 active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
 active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
 active(U183(tt())) -> mark(tt())
 active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
 active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
 active(U193(tt())) -> mark(tt())
 active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
 active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
 active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
 active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
 active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
 active(U206(tt())) -> mark(tt())
 active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
 active(U211(tt())) -> mark(tt())
 active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
 active(U221(tt())) -> mark(tt())
 active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
 active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
 active(U232(tt())) -> mark(tt())
 active(U24(tt(),X)) -> mark(X)
 active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
 active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
 active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
 active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
 active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
 active(U246(tt())) -> mark(tt())
 active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
 active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
 active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
 active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
 active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
 active(U256(tt())) -> mark(tt())
 active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
 active(U262(tt())) -> mark(tt())
 active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
 active(U272(tt())) -> mark(tt())
 active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
 active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
 active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
 active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
 active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
 active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
 active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
 active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
 active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
 active(U304(tt(),Y)) -> mark(Y)
 active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
 active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
 active(U312(tt(),XS)) -> mark(pair(nil(),XS))
 active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
 active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
 active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
 active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
 active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
 active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
 active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
 active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
 active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
 active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
 active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
 active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
 active(U334(tt(),XS)) -> mark(XS)
 active(U34(tt(),N)) -> mark(N)
 active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
 active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
 active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
 active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
 active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
 active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
 active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
 active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
 active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
 active(U46(tt())) -> mark(tt())
 active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
 active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
 active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
 active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
 active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
 active(U56(tt())) -> mark(tt())
 active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
 active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
 active(U63(tt())) -> mark(tt())
 active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
 active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
 active(U73(tt())) -> mark(tt())
 active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
 active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
 active(U83(tt())) -> mark(tt())
 active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
 active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
 active(U93(tt())) -> mark(tt())
 active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
 active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
 active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
 active(isLNat(nil())) -> mark(tt())
 active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
 active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
 active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
 active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
 active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
 active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
 active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
 active(isLNatKind(nil())) -> mark(tt())
 active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
 active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
 active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
 active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
 active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
 active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
 active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
 active(isNatural(0())) -> mark(tt())
 active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
 active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
 active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
 active(isNaturalKind(0())) -> mark(tt())
 active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
 active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
 active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
 active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
 active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
 active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
 active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
 active(natsFrom(N)) -> mark(U281(isNatural(N),N))
 active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
 active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
 active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
 active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
 active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
 active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
 mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
 mark(tt()) -> active(tt())
 mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
 mark(isNaturalKind(X)) -> active(isNaturalKind(X))
 mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
 mark(isLNatKind(X)) -> active(isLNatKind(X))
 mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
 mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
 mark(isNatural(X)) -> active(isNatural(X))
 mark(U106(X)) -> active(U106(mark(X)))
 mark(isLNat(X)) -> active(isLNat(X))
 mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
 mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
 mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
 mark(U112(X)) -> active(U112(mark(X)))
 mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
 mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
 mark(U122(X)) -> active(U122(mark(X)))
 mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
 mark(U131(X)) -> active(U131(mark(X)))
 mark(snd(X)) -> active(snd(mark(X)))
 mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
 mark(U141(X)) -> active(U141(mark(X)))
 mark(U151(X)) -> active(U151(mark(X)))
 mark(U161(X)) -> active(U161(mark(X)))
 mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
 mark(U172(X)) -> active(U172(mark(X)))
 mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
 mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
 mark(U183(X)) -> active(U183(mark(X)))
 mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
 mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
 mark(U193(X)) -> active(U193(mark(X)))
 mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
 mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
 mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
 mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
 mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
 mark(U206(X)) -> active(U206(mark(X)))
 mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
 mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
 mark(U211(X)) -> active(U211(mark(X)))
 mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
 mark(U221(X)) -> active(U221(mark(X)))
 mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
 mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
 mark(U232(X)) -> active(U232(mark(X)))
 mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
 mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
 mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
 mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
 mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
 mark(U246(X)) -> active(U246(mark(X)))
 mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
 mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
 mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
 mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
 mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
 mark(U256(X)) -> active(U256(mark(X)))
 mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
 mark(U262(X)) -> active(U262(mark(X)))
 mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
 mark(U272(X)) -> active(U272(mark(X)))
 mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
 mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
 mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
 mark(natsFrom(X)) -> active(natsFrom(mark(X)))
 mark(s(X)) -> active(s(mark(X)))
 mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
 mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
 mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
 mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
 mark(head(X)) -> active(head(mark(X)))
 mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
 mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
 mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
 mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
 mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
 mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
 mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
 mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
 mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
 mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
 mark(nil()) -> active(nil())
 mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
 mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
 mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
 mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
 mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
 mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
 mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
 mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
 mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
 mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
 mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
 mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
 mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
 mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
 mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
 mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
 mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
 mark(fst(X)) -> active(fst(mark(X)))
 mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
 mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
 mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
 mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
 mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
 mark(U46(X)) -> active(U46(mark(X)))
 mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
 mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
 mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
 mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
 mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
 mark(U56(X)) -> active(U56(mark(X)))
 mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
 mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
 mark(isPLNatKind(X)) -> active(isPLNatKind(X))
 mark(U63(X)) -> active(U63(mark(X)))
 mark(isPLNat(X)) -> active(isPLNat(X))
 mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
 mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
 mark(U73(X)) -> active(U73(mark(X)))
 mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
 mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
 mark(U83(X)) -> active(U83(mark(X)))
 mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
 mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
 mark(U93(X)) -> active(U93(mark(X)))
 mark(tail(X)) -> active(tail(mark(X)))
 mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
 mark(0()) -> active(0())
 mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
 U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
 U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
 U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
 U101(active(X1),X2,X3) -> U101(X1,X2,X3)
 U101(X1,active(X2),X3) -> U101(X1,X2,X3)
 U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
 U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
 U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
 U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
 U102(active(X1),X2,X3) -> U102(X1,X2,X3)
 U102(X1,active(X2),X3) -> U102(X1,X2,X3)
 U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
 isNaturalKind(mark(X)) -> isNaturalKind(X)
 isNaturalKind(active(X)) -> isNaturalKind(X)
 U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
 U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
 U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
 U103(active(X1),X2,X3) -> U103(X1,X2,X3)
 U103(X1,active(X2),X3) -> U103(X1,X2,X3)
 U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
 isLNatKind(mark(X)) -> isLNatKind(X)
 isLNatKind(active(X)) -> isLNatKind(X)
 U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
 U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
 U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
 U104(active(X1),X2,X3) -> U104(X1,X2,X3)
 U104(X1,active(X2),X3) -> U104(X1,X2,X3)
 U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
 U105(mark(X1),X2) -> U105(X1,X2)
 U105(X1,mark(X2)) -> U105(X1,X2)
 U105(active(X1),X2) -> U105(X1,X2)
 U105(X1,active(X2)) -> U105(X1,X2)
 isNatural(mark(X)) -> isNatural(X)
 isNatural(active(X)) -> isNatural(X)
 U106(mark(X)) -> U106(X)
 U106(active(X)) -> U106(X)
 isLNat(mark(X)) -> isLNat(X)
 isLNat(active(X)) -> isLNat(X)
 U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
 U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
 U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
 U11(active(X1),X2,X3) -> U11(X1,X2,X3)
 U11(X1,active(X2),X3) -> U11(X1,X2,X3)
 U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
 U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
 U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
 U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
 U12(active(X1),X2,X3) -> U12(X1,X2,X3)
 U12(X1,active(X2),X3) -> U12(X1,X2,X3)
 U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
 U111(mark(X1),X2) -> U111(X1,X2)
 U111(X1,mark(X2)) -> U111(X1,X2)
 U111(active(X1),X2) -> U111(X1,X2)
 U111(X1,active(X2)) -> U111(X1,X2)
 U112(mark(X)) -> U112(X)
 U112(active(X)) -> U112(X)
 U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
 U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
 U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
 U13(active(X1),X2,X3) -> U13(X1,X2,X3)
 U13(X1,active(X2),X3) -> U13(X1,X2,X3)
 U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
 U121(mark(X1),X2) -> U121(X1,X2)
 U121(X1,mark(X2)) -> U121(X1,X2)
 U121(active(X1),X2) -> U121(X1,X2)
 U121(X1,active(X2)) -> U121(X1,X2)
 U122(mark(X)) -> U122(X)
 U122(active(X)) -> U122(X)
 U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
 U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
 U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
 U14(active(X1),X2,X3) -> U14(X1,X2,X3)
 U14(X1,active(X2),X3) -> U14(X1,X2,X3)
 U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
 U131(mark(X)) -> U131(X)
 U131(active(X)) -> U131(X)
 snd(mark(X)) -> snd(X)
 snd(active(X)) -> snd(X)
 splitAt(mark(X1),X2) -> splitAt(X1,X2)
 splitAt(X1,mark(X2)) -> splitAt(X1,X2)
 splitAt(active(X1),X2) -> splitAt(X1,X2)
 splitAt(X1,active(X2)) -> splitAt(X1,X2)
 U141(mark(X)) -> U141(X)
 U141(active(X)) -> U141(X)
 U151(mark(X)) -> U151(X)
 U151(active(X)) -> U151(X)
 U161(mark(X)) -> U161(X)
 U161(active(X)) -> U161(X)
 U171(mark(X1),X2) -> U171(X1,X2)
 U171(X1,mark(X2)) -> U171(X1,X2)
 U171(active(X1),X2) -> U171(X1,X2)
 U171(X1,active(X2)) -> U171(X1,X2)
 U172(mark(X)) -> U172(X)
 U172(active(X)) -> U172(X)
 U181(mark(X1),X2) -> U181(X1,X2)
 U181(X1,mark(X2)) -> U181(X1,X2)
 U181(active(X1),X2) -> U181(X1,X2)
 U181(X1,active(X2)) -> U181(X1,X2)
 U182(mark(X1),X2) -> U182(X1,X2)
 U182(X1,mark(X2)) -> U182(X1,X2)
 U182(active(X1),X2) -> U182(X1,X2)
 U182(X1,active(X2)) -> U182(X1,X2)
 U183(mark(X)) -> U183(X)
 U183(active(X)) -> U183(X)
 U191(mark(X1),X2) -> U191(X1,X2)
 U191(X1,mark(X2)) -> U191(X1,X2)
 U191(active(X1),X2) -> U191(X1,X2)
 U191(X1,active(X2)) -> U191(X1,X2)
 U192(mark(X1),X2) -> U192(X1,X2)
 U192(X1,mark(X2)) -> U192(X1,X2)
 U192(active(X1),X2) -> U192(X1,X2)
 U192(X1,active(X2)) -> U192(X1,X2)
 U193(mark(X)) -> U193(X)
 U193(active(X)) -> U193(X)
 U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
 U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
 U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
 U201(active(X1),X2,X3) -> U201(X1,X2,X3)
 U201(X1,active(X2),X3) -> U201(X1,X2,X3)
 U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
 U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
 U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
 U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
 U202(active(X1),X2,X3) -> U202(X1,X2,X3)
 U202(X1,active(X2),X3) -> U202(X1,X2,X3)
 U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
 U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
 U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
 U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
 U203(active(X1),X2,X3) -> U203(X1,X2,X3)
 U203(X1,active(X2),X3) -> U203(X1,X2,X3)
 U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
 U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
 U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
 U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
 U204(active(X1),X2,X3) -> U204(X1,X2,X3)
 U204(X1,active(X2),X3) -> U204(X1,X2,X3)
 U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
 U205(mark(X1),X2) -> U205(X1,X2)
 U205(X1,mark(X2)) -> U205(X1,X2)
 U205(active(X1),X2) -> U205(X1,X2)
 U205(X1,active(X2)) -> U205(X1,X2)
 U206(mark(X)) -> U206(X)
 U206(active(X)) -> U206(X)
 U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
 U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
 U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
 U21(active(X1),X2,X3) -> U21(X1,X2,X3)
 U21(X1,active(X2),X3) -> U21(X1,X2,X3)
 U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
 U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
 U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
 U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
 U22(active(X1),X2,X3) -> U22(X1,X2,X3)
 U22(X1,active(X2),X3) -> U22(X1,X2,X3)
 U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
 U211(mark(X)) -> U211(X)
 U211(active(X)) -> U211(X)
 U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
 U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
 U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
 U23(active(X1),X2,X3) -> U23(X1,X2,X3)
 U23(X1,active(X2),X3) -> U23(X1,X2,X3)
 U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
 U221(mark(X)) -> U221(X)
 U221(active(X)) -> U221(X)
 U24(mark(X1),X2) -> U24(X1,X2)
 U24(X1,mark(X2)) -> U24(X1,X2)
 U24(active(X1),X2) -> U24(X1,X2)
 U24(X1,active(X2)) -> U24(X1,X2)
 U231(mark(X1),X2) -> U231(X1,X2)
 U231(X1,mark(X2)) -> U231(X1,X2)
 U231(active(X1),X2) -> U231(X1,X2)
 U231(X1,active(X2)) -> U231(X1,X2)
 U232(mark(X)) -> U232(X)
 U232(active(X)) -> U232(X)
 U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
 U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
 U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
 U241(active(X1),X2,X3) -> U241(X1,X2,X3)
 U241(X1,active(X2),X3) -> U241(X1,X2,X3)
 U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
 U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
 U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
 U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
 U242(active(X1),X2,X3) -> U242(X1,X2,X3)
 U242(X1,active(X2),X3) -> U242(X1,X2,X3)
 U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
 U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
 U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
 U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
 U243(active(X1),X2,X3) -> U243(X1,X2,X3)
 U243(X1,active(X2),X3) -> U243(X1,X2,X3)
 U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
 U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
 U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
 U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
 U244(active(X1),X2,X3) -> U244(X1,X2,X3)
 U244(X1,active(X2),X3) -> U244(X1,X2,X3)
 U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
 U245(mark(X1),X2) -> U245(X1,X2)
 U245(X1,mark(X2)) -> U245(X1,X2)
 U245(active(X1),X2) -> U245(X1,X2)
 U245(X1,active(X2)) -> U245(X1,X2)
 U246(mark(X)) -> U246(X)
 U246(active(X)) -> U246(X)
 U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
 U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
 U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
 U251(active(X1),X2,X3) -> U251(X1,X2,X3)
 U251(X1,active(X2),X3) -> U251(X1,X2,X3)
 U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
 U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
 U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
 U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
 U252(active(X1),X2,X3) -> U252(X1,X2,X3)
 U252(X1,active(X2),X3) -> U252(X1,X2,X3)
 U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
 U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
 U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
 U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
 U253(active(X1),X2,X3) -> U253(X1,X2,X3)
 U253(X1,active(X2),X3) -> U253(X1,X2,X3)
 U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
 U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
 U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
 U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
 U254(active(X1),X2,X3) -> U254(X1,X2,X3)
 U254(X1,active(X2),X3) -> U254(X1,X2,X3)
 U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
 U255(mark(X1),X2) -> U255(X1,X2)
 U255(X1,mark(X2)) -> U255(X1,X2)
 U255(active(X1),X2) -> U255(X1,X2)
 U255(X1,active(X2)) -> U255(X1,X2)
 U256(mark(X)) -> U256(X)
 U256(active(X)) -> U256(X)
 U261(mark(X1),X2) -> U261(X1,X2)
 U261(X1,mark(X2)) -> U261(X1,X2)
 U261(active(X1),X2) -> U261(X1,X2)
 U261(X1,active(X2)) -> U261(X1,X2)
 U262(mark(X)) -> U262(X)
 U262(active(X)) -> U262(X)
 U271(mark(X1),X2) -> U271(X1,X2)
 U271(X1,mark(X2)) -> U271(X1,X2)
 U271(active(X1),X2) -> U271(X1,X2)
 U271(X1,active(X2)) -> U271(X1,X2)
 U272(mark(X)) -> U272(X)
 U272(active(X)) -> U272(X)
 U281(mark(X1),X2) -> U281(X1,X2)
 U281(X1,mark(X2)) -> U281(X1,X2)
 U281(active(X1),X2) -> U281(X1,X2)
 U281(X1,active(X2)) -> U281(X1,X2)
 U282(mark(X1),X2) -> U282(X1,X2)
 U282(X1,mark(X2)) -> U282(X1,X2)
 U282(active(X1),X2) -> U282(X1,X2)
 U282(X1,active(X2)) -> U282(X1,X2)
 cons(mark(X1),X2) -> cons(X1,X2)
 cons(X1,mark(X2)) -> cons(X1,X2)
 cons(active(X1),X2) -> cons(X1,X2)
 cons(X1,active(X2)) -> cons(X1,X2)
 natsFrom(mark(X)) -> natsFrom(X)
 natsFrom(active(X)) -> natsFrom(X)
 s(mark(X)) -> s(X)
 s(active(X)) -> s(X)
 U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
 U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
 U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
 U291(active(X1),X2,X3) -> U291(X1,X2,X3)
 U291(X1,active(X2),X3) -> U291(X1,X2,X3)
 U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
 U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
 U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
 U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
 U292(active(X1),X2,X3) -> U292(X1,X2,X3)
 U292(X1,active(X2),X3) -> U292(X1,X2,X3)
 U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
 U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
 U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
 U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
 U293(active(X1),X2,X3) -> U293(X1,X2,X3)
 U293(X1,active(X2),X3) -> U293(X1,X2,X3)
 U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
 U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
 U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
 U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
 U294(active(X1),X2,X3) -> U294(X1,X2,X3)
 U294(X1,active(X2),X3) -> U294(X1,X2,X3)
 U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
 head(mark(X)) -> head(X)
 head(active(X)) -> head(X)
 afterNth(mark(X1),X2) -> afterNth(X1,X2)
 afterNth(X1,mark(X2)) -> afterNth(X1,X2)
 afterNth(active(X1),X2) -> afterNth(X1,X2)
 afterNth(X1,active(X2)) -> afterNth(X1,X2)
 U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
 U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
 U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
 U301(active(X1),X2,X3) -> U301(X1,X2,X3)
 U301(X1,active(X2),X3) -> U301(X1,X2,X3)
 U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
 U302(mark(X1),X2) -> U302(X1,X2)
 U302(X1,mark(X2)) -> U302(X1,X2)
 U302(active(X1),X2) -> U302(X1,X2)
 U302(X1,active(X2)) -> U302(X1,X2)
 U303(mark(X1),X2) -> U303(X1,X2)
 U303(X1,mark(X2)) -> U303(X1,X2)
 U303(active(X1),X2) -> U303(X1,X2)
 U303(X1,active(X2)) -> U303(X1,X2)
 U304(mark(X1),X2) -> U304(X1,X2)
 U304(X1,mark(X2)) -> U304(X1,X2)
 U304(active(X1),X2) -> U304(X1,X2)
 U304(X1,active(X2)) -> U304(X1,X2)
 U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
 U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
 U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
 U31(active(X1),X2,X3) -> U31(X1,X2,X3)
 U31(X1,active(X2),X3) -> U31(X1,X2,X3)
 U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
 U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
 U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
 U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
 U32(active(X1),X2,X3) -> U32(X1,X2,X3)
 U32(X1,active(X2),X3) -> U32(X1,X2,X3)
 U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
 U311(mark(X1),X2) -> U311(X1,X2)
 U311(X1,mark(X2)) -> U311(X1,X2)
 U311(active(X1),X2) -> U311(X1,X2)
 U311(X1,active(X2)) -> U311(X1,X2)
 U312(mark(X1),X2) -> U312(X1,X2)
 U312(X1,mark(X2)) -> U312(X1,X2)
 U312(active(X1),X2) -> U312(X1,X2)
 U312(X1,active(X2)) -> U312(X1,X2)
 pair(mark(X1),X2) -> pair(X1,X2)
 pair(X1,mark(X2)) -> pair(X1,X2)
 pair(active(X1),X2) -> pair(X1,X2)
 pair(X1,active(X2)) -> pair(X1,X2)
 U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
 U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
 U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
 U33(active(X1),X2,X3) -> U33(X1,X2,X3)
 U33(X1,active(X2),X3) -> U33(X1,X2,X3)
 U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
 U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
 U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
 U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
 U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
 U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
 U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
 U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
 U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
 U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
 U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
 U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
 U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
 U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
 U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
 U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
 U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
 U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
 U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
 U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
 U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
 U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
 U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
 U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
 U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
 U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
 U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
 U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
 U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
 U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
 U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
 U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
 U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
 U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
 U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
 U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
 U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
 U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
 U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
 U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
 U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
 U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
 U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
 U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
 U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
 U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
 U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
 U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
 U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
 U327(mark(X1),X2) -> U327(X1,X2)
 U327(X1,mark(X2)) -> U327(X1,X2)
 U327(active(X1),X2) -> U327(X1,X2)
 U327(X1,active(X2)) -> U327(X1,X2)
 U34(mark(X1),X2) -> U34(X1,X2)
 U34(X1,mark(X2)) -> U34(X1,X2)
 U34(active(X1),X2) -> U34(X1,X2)
 U34(X1,active(X2)) -> U34(X1,X2)
 U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
 U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
 U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
 U331(active(X1),X2,X3) -> U331(X1,X2,X3)
 U331(X1,active(X2),X3) -> U331(X1,X2,X3)
 U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
 U332(mark(X1),X2) -> U332(X1,X2)
 U332(X1,mark(X2)) -> U332(X1,X2)
 U332(active(X1),X2) -> U332(X1,X2)
 U332(X1,active(X2)) -> U332(X1,X2)
 U333(mark(X1),X2) -> U333(X1,X2)
 U333(X1,mark(X2)) -> U333(X1,X2)
 U333(active(X1),X2) -> U333(X1,X2)
 U333(X1,active(X2)) -> U333(X1,X2)
 U334(mark(X1),X2) -> U334(X1,X2)
 U334(X1,mark(X2)) -> U334(X1,X2)
 U334(active(X1),X2) -> U334(X1,X2)
 U334(X1,active(X2)) -> U334(X1,X2)
 U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
 U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
 U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
 U341(active(X1),X2,X3) -> U341(X1,X2,X3)
 U341(X1,active(X2),X3) -> U341(X1,X2,X3)
 U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
 U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
 U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
 U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
 U342(active(X1),X2,X3) -> U342(X1,X2,X3)
 U342(X1,active(X2),X3) -> U342(X1,X2,X3)
 U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
 U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
 U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
 U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
 U343(active(X1),X2,X3) -> U343(X1,X2,X3)
 U343(X1,active(X2),X3) -> U343(X1,X2,X3)
 U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
 U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
 U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
 U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
 U344(active(X1),X2,X3) -> U344(X1,X2,X3)
 U344(X1,active(X2),X3) -> U344(X1,X2,X3)
 U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
 fst(mark(X)) -> fst(X)
 fst(active(X)) -> fst(X)
 U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
 U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
 U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
 U41(active(X1),X2,X3) -> U41(X1,X2,X3)
 U41(X1,active(X2),X3) -> U41(X1,X2,X3)
 U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
 U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
 U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
 U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
 U42(active(X1),X2,X3) -> U42(X1,X2,X3)
 U42(X1,active(X2),X3) -> U42(X1,X2,X3)
 U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
 U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
 U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
 U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
 U43(active(X1),X2,X3) -> U43(X1,X2,X3)
 U43(X1,active(X2),X3) -> U43(X1,X2,X3)
 U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
 U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
 U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
 U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
 U44(active(X1),X2,X3) -> U44(X1,X2,X3)
 U44(X1,active(X2),X3) -> U44(X1,X2,X3)
 U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
 U45(mark(X1),X2) -> U45(X1,X2)
 U45(X1,mark(X2)) -> U45(X1,X2)
 U45(active(X1),X2) -> U45(X1,X2)
 U45(X1,active(X2)) -> U45(X1,X2)
 U46(mark(X)) -> U46(X)
 U46(active(X)) -> U46(X)
 U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
 U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
 U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
 U51(active(X1),X2,X3) -> U51(X1,X2,X3)
 U51(X1,active(X2),X3) -> U51(X1,X2,X3)
 U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
 U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
 U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
 U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
 U52(active(X1),X2,X3) -> U52(X1,X2,X3)
 U52(X1,active(X2),X3) -> U52(X1,X2,X3)
 U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
 U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
 U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
 U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
 U53(active(X1),X2,X3) -> U53(X1,X2,X3)
 U53(X1,active(X2),X3) -> U53(X1,X2,X3)
 U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
 U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
 U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
 U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
 U54(active(X1),X2,X3) -> U54(X1,X2,X3)
 U54(X1,active(X2),X3) -> U54(X1,X2,X3)
 U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
 U55(mark(X1),X2) -> U55(X1,X2)
 U55(X1,mark(X2)) -> U55(X1,X2)
 U55(active(X1),X2) -> U55(X1,X2)
 U55(X1,active(X2)) -> U55(X1,X2)
 U56(mark(X)) -> U56(X)
 U56(active(X)) -> U56(X)
 U61(mark(X1),X2) -> U61(X1,X2)
 U61(X1,mark(X2)) -> U61(X1,X2)
 U61(active(X1),X2) -> U61(X1,X2)
 U61(X1,active(X2)) -> U61(X1,X2)
 U62(mark(X1),X2) -> U62(X1,X2)
 U62(X1,mark(X2)) -> U62(X1,X2)
 U62(active(X1),X2) -> U62(X1,X2)
 U62(X1,active(X2)) -> U62(X1,X2)
 isPLNatKind(mark(X)) -> isPLNatKind(X)
 isPLNatKind(active(X)) -> isPLNatKind(X)
 U63(mark(X)) -> U63(X)
 U63(active(X)) -> U63(X)
 isPLNat(mark(X)) -> isPLNat(X)
 isPLNat(active(X)) -> isPLNat(X)
 U71(mark(X1),X2) -> U71(X1,X2)
 U71(X1,mark(X2)) -> U71(X1,X2)
 U71(active(X1),X2) -> U71(X1,X2)
 U71(X1,active(X2)) -> U71(X1,X2)
 U72(mark(X1),X2) -> U72(X1,X2)
 U72(X1,mark(X2)) -> U72(X1,X2)
 U72(active(X1),X2) -> U72(X1,X2)
 U72(X1,active(X2)) -> U72(X1,X2)
 U73(mark(X)) -> U73(X)
 U73(active(X)) -> U73(X)
 U81(mark(X1),X2) -> U81(X1,X2)
 U81(X1,mark(X2)) -> U81(X1,X2)
 U81(active(X1),X2) -> U81(X1,X2)
 U81(X1,active(X2)) -> U81(X1,X2)
 U82(mark(X1),X2) -> U82(X1,X2)
 U82(X1,mark(X2)) -> U82(X1,X2)
 U82(active(X1),X2) -> U82(X1,X2)
 U82(X1,active(X2)) -> U82(X1,X2)
 U83(mark(X)) -> U83(X)
 U83(active(X)) -> U83(X)
 U91(mark(X1),X2) -> U91(X1,X2)
 U91(X1,mark(X2)) -> U91(X1,X2)
 U91(active(X1),X2) -> U91(X1,X2)
 U91(X1,active(X2)) -> U91(X1,X2)
 U92(mark(X1),X2) -> U92(X1,X2)
 U92(X1,mark(X2)) -> U92(X1,X2)
 U92(active(X1),X2) -> U92(X1,X2)
 U92(X1,active(X2)) -> U92(X1,X2)
 U93(mark(X)) -> U93(X)
 U93(active(X)) -> U93(X)
 tail(mark(X)) -> tail(X)
 tail(active(X)) -> tail(X)
 take(mark(X1),X2) -> take(X1,X2)
 take(X1,mark(X2)) -> take(X1,X2)
 take(active(X1),X2) -> take(X1,X2)
 take(X1,active(X2)) -> take(X1,X2)
 sel(mark(X1),X2) -> sel(X1,X2)
 sel(X1,mark(X2)) -> sel(X1,X2)
 sel(active(X1),X2) -> sel(X1,X2)
 sel(X1,active(X2)) -> sel(X1,X2)

Proof:
 DP Processor:
  DPs:
   active#(U101(tt(),V1,V2)) -> isNaturalKind#(V1)
   active#(U101(tt(),V1,V2)) -> U102#(isNaturalKind(V1),V1,V2)
   active#(U101(tt(),V1,V2)) -> mark#(U102(isNaturalKind(V1),V1,V2))
   active#(U102(tt(),V1,V2)) -> isLNatKind#(V2)
   active#(U102(tt(),V1,V2)) -> U103#(isLNatKind(V2),V1,V2)
   active#(U102(tt(),V1,V2)) -> mark#(U103(isLNatKind(V2),V1,V2))
   active#(U103(tt(),V1,V2)) -> isLNatKind#(V2)
   active#(U103(tt(),V1,V2)) -> U104#(isLNatKind(V2),V1,V2)
   active#(U103(tt(),V1,V2)) -> mark#(U104(isLNatKind(V2),V1,V2))
   active#(U104(tt(),V1,V2)) -> isNatural#(V1)
   active#(U104(tt(),V1,V2)) -> U105#(isNatural(V1),V2)
   active#(U104(tt(),V1,V2)) -> mark#(U105(isNatural(V1),V2))
   active#(U105(tt(),V2)) -> isLNat#(V2)
   active#(U105(tt(),V2)) -> U106#(isLNat(V2))
   active#(U105(tt(),V2)) -> mark#(U106(isLNat(V2)))
   active#(U106(tt())) -> mark#(tt())
   active#(U11(tt(),N,XS)) -> isNaturalKind#(N)
   active#(U11(tt(),N,XS)) -> U12#(isNaturalKind(N),N,XS)
   active#(U11(tt(),N,XS)) -> mark#(U12(isNaturalKind(N),N,XS))
   active#(U111(tt(),V2)) -> isLNatKind#(V2)
   active#(U111(tt(),V2)) -> U112#(isLNatKind(V2))
   active#(U111(tt(),V2)) -> mark#(U112(isLNatKind(V2)))
   active#(U112(tt())) -> mark#(tt())
   active#(U12(tt(),N,XS)) -> isLNat#(XS)
   active#(U12(tt(),N,XS)) -> U13#(isLNat(XS),N,XS)
   active#(U12(tt(),N,XS)) -> mark#(U13(isLNat(XS),N,XS))
   active#(U121(tt(),V2)) -> isLNatKind#(V2)
   active#(U121(tt(),V2)) -> U122#(isLNatKind(V2))
   active#(U121(tt(),V2)) -> mark#(U122(isLNatKind(V2)))
   active#(U122(tt())) -> mark#(tt())
   active#(U13(tt(),N,XS)) -> isLNatKind#(XS)
   active#(U13(tt(),N,XS)) -> U14#(isLNatKind(XS),N,XS)
   active#(U13(tt(),N,XS)) -> mark#(U14(isLNatKind(XS),N,XS))
   active#(U131(tt())) -> mark#(tt())
   active#(U14(tt(),N,XS)) -> splitAt#(N,XS)
   active#(U14(tt(),N,XS)) -> snd#(splitAt(N,XS))
   active#(U14(tt(),N,XS)) -> mark#(snd(splitAt(N,XS)))
   active#(U141(tt())) -> mark#(tt())
   active#(U151(tt())) -> mark#(tt())
   active#(U161(tt())) -> mark#(tt())
   active#(U171(tt(),V2)) -> isLNatKind#(V2)
   active#(U171(tt(),V2)) -> U172#(isLNatKind(V2))
   active#(U171(tt(),V2)) -> mark#(U172(isLNatKind(V2)))
   active#(U172(tt())) -> mark#(tt())
   active#(U181(tt(),V1)) -> isLNatKind#(V1)
   active#(U181(tt(),V1)) -> U182#(isLNatKind(V1),V1)
   active#(U181(tt(),V1)) -> mark#(U182(isLNatKind(V1),V1))
   active#(U182(tt(),V1)) -> isLNat#(V1)
   active#(U182(tt(),V1)) -> U183#(isLNat(V1))
   active#(U182(tt(),V1)) -> mark#(U183(isLNat(V1)))
   active#(U183(tt())) -> mark#(tt())
   active#(U191(tt(),V1)) -> isNaturalKind#(V1)
   active#(U191(tt(),V1)) -> U192#(isNaturalKind(V1),V1)
   active#(U191(tt(),V1)) -> mark#(U192(isNaturalKind(V1),V1))
   active#(U192(tt(),V1)) -> isNatural#(V1)
   active#(U192(tt(),V1)) -> U193#(isNatural(V1))
   active#(U192(tt(),V1)) -> mark#(U193(isNatural(V1)))
   active#(U193(tt())) -> mark#(tt())
   active#(U201(tt(),V1,V2)) -> isNaturalKind#(V1)
   active#(U201(tt(),V1,V2)) -> U202#(isNaturalKind(V1),V1,V2)
   active#(U201(tt(),V1,V2)) -> mark#(U202(isNaturalKind(V1),V1,V2))
   active#(U202(tt(),V1,V2)) -> isLNatKind#(V2)
   active#(U202(tt(),V1,V2)) -> U203#(isLNatKind(V2),V1,V2)
   active#(U202(tt(),V1,V2)) -> mark#(U203(isLNatKind(V2),V1,V2))
   active#(U203(tt(),V1,V2)) -> isLNatKind#(V2)
   active#(U203(tt(),V1,V2)) -> U204#(isLNatKind(V2),V1,V2)
   active#(U203(tt(),V1,V2)) -> mark#(U204(isLNatKind(V2),V1,V2))
   active#(U204(tt(),V1,V2)) -> isNatural#(V1)
   active#(U204(tt(),V1,V2)) -> U205#(isNatural(V1),V2)
   active#(U204(tt(),V1,V2)) -> mark#(U205(isNatural(V1),V2))
   active#(U205(tt(),V2)) -> isLNat#(V2)
   active#(U205(tt(),V2)) -> U206#(isLNat(V2))
   active#(U205(tt(),V2)) -> mark#(U206(isLNat(V2)))
   active#(U206(tt())) -> mark#(tt())
   active#(U21(tt(),X,Y)) -> isLNatKind#(X)
   active#(U21(tt(),X,Y)) -> U22#(isLNatKind(X),X,Y)
   active#(U21(tt(),X,Y)) -> mark#(U22(isLNatKind(X),X,Y))
   active#(U211(tt())) -> mark#(tt())
   active#(U22(tt(),X,Y)) -> isLNat#(Y)
   active#(U22(tt(),X,Y)) -> U23#(isLNat(Y),X,Y)
   active#(U22(tt(),X,Y)) -> mark#(U23(isLNat(Y),X,Y))
   active#(U221(tt())) -> mark#(tt())
   active#(U23(tt(),X,Y)) -> isLNatKind#(Y)
   active#(U23(tt(),X,Y)) -> U24#(isLNatKind(Y),X)
   active#(U23(tt(),X,Y)) -> mark#(U24(isLNatKind(Y),X))
   active#(U231(tt(),V2)) -> isLNatKind#(V2)
   active#(U231(tt(),V2)) -> U232#(isLNatKind(V2))
   active#(U231(tt(),V2)) -> mark#(U232(isLNatKind(V2)))
   active#(U232(tt())) -> mark#(tt())
   active#(U24(tt(),X)) -> mark#(X)
   active#(U241(tt(),V1,V2)) -> isLNatKind#(V1)
   active#(U241(tt(),V1,V2)) -> U242#(isLNatKind(V1),V1,V2)
   active#(U241(tt(),V1,V2)) -> mark#(U242(isLNatKind(V1),V1,V2))
   active#(U242(tt(),V1,V2)) -> isLNatKind#(V2)
   active#(U242(tt(),V1,V2)) -> U243#(isLNatKind(V2),V1,V2)
   active#(U242(tt(),V1,V2)) -> mark#(U243(isLNatKind(V2),V1,V2))
   active#(U243(tt(),V1,V2)) -> isLNatKind#(V2)
   active#(U243(tt(),V1,V2)) -> U244#(isLNatKind(V2),V1,V2)
   active#(U243(tt(),V1,V2)) -> mark#(U244(isLNatKind(V2),V1,V2))
   active#(U244(tt(),V1,V2)) -> isLNat#(V1)
   active#(U244(tt(),V1,V2)) -> U245#(isLNat(V1),V2)
   active#(U244(tt(),V1,V2)) -> mark#(U245(isLNat(V1),V2))
   active#(U245(tt(),V2)) -> isLNat#(V2)
   active#(U245(tt(),V2)) -> U246#(isLNat(V2))
   active#(U245(tt(),V2)) -> mark#(U246(isLNat(V2)))
   active#(U246(tt())) -> mark#(tt())
   active#(U251(tt(),V1,V2)) -> isNaturalKind#(V1)
   active#(U251(tt(),V1,V2)) -> U252#(isNaturalKind(V1),V1,V2)
   active#(U251(tt(),V1,V2)) -> mark#(U252(isNaturalKind(V1),V1,V2))
   active#(U252(tt(),V1,V2)) -> isLNatKind#(V2)
   active#(U252(tt(),V1,V2)) -> U253#(isLNatKind(V2),V1,V2)
   active#(U252(tt(),V1,V2)) -> mark#(U253(isLNatKind(V2),V1,V2))
   active#(U253(tt(),V1,V2)) -> isLNatKind#(V2)
   active#(U253(tt(),V1,V2)) -> U254#(isLNatKind(V2),V1,V2)
   active#(U253(tt(),V1,V2)) -> mark#(U254(isLNatKind(V2),V1,V2))
   active#(U254(tt(),V1,V2)) -> isNatural#(V1)
   active#(U254(tt(),V1,V2)) -> U255#(isNatural(V1),V2)
   active#(U254(tt(),V1,V2)) -> mark#(U255(isNatural(V1),V2))
   active#(U255(tt(),V2)) -> isLNat#(V2)
   active#(U255(tt(),V2)) -> U256#(isLNat(V2))
   active#(U255(tt(),V2)) -> mark#(U256(isLNat(V2)))
   active#(U256(tt())) -> mark#(tt())
   active#(U261(tt(),V2)) -> isLNatKind#(V2)
   active#(U261(tt(),V2)) -> U262#(isLNatKind(V2))
   active#(U261(tt(),V2)) -> mark#(U262(isLNatKind(V2)))
   active#(U262(tt())) -> mark#(tt())
   active#(U271(tt(),V2)) -> isLNatKind#(V2)
   active#(U271(tt(),V2)) -> U272#(isLNatKind(V2))
   active#(U271(tt(),V2)) -> mark#(U272(isLNatKind(V2)))
   active#(U272(tt())) -> mark#(tt())
   active#(U281(tt(),N)) -> isNaturalKind#(N)
   active#(U281(tt(),N)) -> U282#(isNaturalKind(N),N)
   active#(U281(tt(),N)) -> mark#(U282(isNaturalKind(N),N))
   active#(U282(tt(),N)) -> s#(N)
   active#(U282(tt(),N)) -> natsFrom#(s(N))
   active#(U282(tt(),N)) -> cons#(N,natsFrom(s(N)))
   active#(U282(tt(),N)) -> mark#(cons(N,natsFrom(s(N))))
   active#(U291(tt(),N,XS)) -> isNaturalKind#(N)
   active#(U291(tt(),N,XS)) -> U292#(isNaturalKind(N),N,XS)
   active#(U291(tt(),N,XS)) -> mark#(U292(isNaturalKind(N),N,XS))
   active#(U292(tt(),N,XS)) -> isLNat#(XS)
   active#(U292(tt(),N,XS)) -> U293#(isLNat(XS),N,XS)
   active#(U292(tt(),N,XS)) -> mark#(U293(isLNat(XS),N,XS))
   active#(U293(tt(),N,XS)) -> isLNatKind#(XS)
   active#(U293(tt(),N,XS)) -> U294#(isLNatKind(XS),N,XS)
   active#(U293(tt(),N,XS)) -> mark#(U294(isLNatKind(XS),N,XS))
   active#(U294(tt(),N,XS)) -> afterNth#(N,XS)
   active#(U294(tt(),N,XS)) -> head#(afterNth(N,XS))
   active#(U294(tt(),N,XS)) -> mark#(head(afterNth(N,XS)))
   active#(U301(tt(),X,Y)) -> isLNatKind#(X)
   active#(U301(tt(),X,Y)) -> U302#(isLNatKind(X),Y)
   active#(U301(tt(),X,Y)) -> mark#(U302(isLNatKind(X),Y))
   active#(U302(tt(),Y)) -> isLNat#(Y)
   active#(U302(tt(),Y)) -> U303#(isLNat(Y),Y)
   active#(U302(tt(),Y)) -> mark#(U303(isLNat(Y),Y))
   active#(U303(tt(),Y)) -> isLNatKind#(Y)
   active#(U303(tt(),Y)) -> U304#(isLNatKind(Y),Y)
   active#(U303(tt(),Y)) -> mark#(U304(isLNatKind(Y),Y))
   active#(U304(tt(),Y)) -> mark#(Y)
   active#(U31(tt(),N,XS)) -> isNaturalKind#(N)
   active#(U31(tt(),N,XS)) -> U32#(isNaturalKind(N),N,XS)
   active#(U31(tt(),N,XS)) -> mark#(U32(isNaturalKind(N),N,XS))
   active#(U311(tt(),XS)) -> isLNatKind#(XS)
   active#(U311(tt(),XS)) -> U312#(isLNatKind(XS),XS)
   active#(U311(tt(),XS)) -> mark#(U312(isLNatKind(XS),XS))
   active#(U312(tt(),XS)) -> pair#(nil(),XS)
   active#(U312(tt(),XS)) -> mark#(pair(nil(),XS))
   active#(U32(tt(),N,XS)) -> isLNat#(XS)
   active#(U32(tt(),N,XS)) -> U33#(isLNat(XS),N,XS)
   active#(U32(tt(),N,XS)) -> mark#(U33(isLNat(XS),N,XS))
   active#(U321(tt(),N,X,XS)) -> isNaturalKind#(N)
   active#(U321(tt(),N,X,XS)) -> U322#(isNaturalKind(N),N,X,XS)
   active#(U321(tt(),N,X,XS)) -> mark#(U322(isNaturalKind(N),N,X,XS))
   active#(U322(tt(),N,X,XS)) -> isNatural#(X)
   active#(U322(tt(),N,X,XS)) -> U323#(isNatural(X),N,X,XS)
   active#(U322(tt(),N,X,XS)) -> mark#(U323(isNatural(X),N,X,XS))
   active#(U323(tt(),N,X,XS)) -> isNaturalKind#(X)
   active#(U323(tt(),N,X,XS)) -> U324#(isNaturalKind(X),N,X,XS)
   active#(U323(tt(),N,X,XS)) -> mark#(U324(isNaturalKind(X),N,X,XS))
   active#(U324(tt(),N,X,XS)) -> isLNat#(XS)
   active#(U324(tt(),N,X,XS)) -> U325#(isLNat(XS),N,X,XS)
   active#(U324(tt(),N,X,XS)) -> mark#(U325(isLNat(XS),N,X,XS))
   active#(U325(tt(),N,X,XS)) -> isLNatKind#(XS)
   active#(U325(tt(),N,X,XS)) -> U326#(isLNatKind(XS),N,X,XS)
   active#(U325(tt(),N,X,XS)) -> mark#(U326(isLNatKind(XS),N,X,XS))
   active#(U326(tt(),N,X,XS)) -> splitAt#(N,XS)
   active#(U326(tt(),N,X,XS)) -> U327#(splitAt(N,XS),X)
   active#(U326(tt(),N,X,XS)) -> mark#(U327(splitAt(N,XS),X))
   active#(U327(pair(YS,ZS),X)) -> cons#(X,YS)
   active#(U327(pair(YS,ZS),X)) -> pair#(cons(X,YS),ZS)
   active#(U327(pair(YS,ZS),X)) -> mark#(pair(cons(X,YS),ZS))
   active#(U33(tt(),N,XS)) -> isLNatKind#(XS)
   active#(U33(tt(),N,XS)) -> U34#(isLNatKind(XS),N)
   active#(U33(tt(),N,XS)) -> mark#(U34(isLNatKind(XS),N))
   active#(U331(tt(),N,XS)) -> isNaturalKind#(N)
   active#(U331(tt(),N,XS)) -> U332#(isNaturalKind(N),XS)
   active#(U331(tt(),N,XS)) -> mark#(U332(isNaturalKind(N),XS))
   active#(U332(tt(),XS)) -> isLNat#(XS)
   active#(U332(tt(),XS)) -> U333#(isLNat(XS),XS)
   active#(U332(tt(),XS)) -> mark#(U333(isLNat(XS),XS))
   active#(U333(tt(),XS)) -> isLNatKind#(XS)
   active#(U333(tt(),XS)) -> U334#(isLNatKind(XS),XS)
   active#(U333(tt(),XS)) -> mark#(U334(isLNatKind(XS),XS))
   active#(U334(tt(),XS)) -> mark#(XS)
   active#(U34(tt(),N)) -> mark#(N)
   active#(U341(tt(),N,XS)) -> isNaturalKind#(N)
   active#(U341(tt(),N,XS)) -> U342#(isNaturalKind(N),N,XS)
   active#(U341(tt(),N,XS)) -> mark#(U342(isNaturalKind(N),N,XS))
   active#(U342(tt(),N,XS)) -> isLNat#(XS)
   active#(U342(tt(),N,XS)) -> U343#(isLNat(XS),N,XS)
   active#(U342(tt(),N,XS)) -> mark#(U343(isLNat(XS),N,XS))
   active#(U343(tt(),N,XS)) -> isLNatKind#(XS)
   active#(U343(tt(),N,XS)) -> U344#(isLNatKind(XS),N,XS)
   active#(U343(tt(),N,XS)) -> mark#(U344(isLNatKind(XS),N,XS))
   active#(U344(tt(),N,XS)) -> splitAt#(N,XS)
   active#(U344(tt(),N,XS)) -> fst#(splitAt(N,XS))
   active#(U344(tt(),N,XS)) -> mark#(fst(splitAt(N,XS)))
   active#(U41(tt(),V1,V2)) -> isNaturalKind#(V1)
   active#(U41(tt(),V1,V2)) -> U42#(isNaturalKind(V1),V1,V2)
   active#(U41(tt(),V1,V2)) -> mark#(U42(isNaturalKind(V1),V1,V2))
   active#(U42(tt(),V1,V2)) -> isLNatKind#(V2)
   active#(U42(tt(),V1,V2)) -> U43#(isLNatKind(V2),V1,V2)
   active#(U42(tt(),V1,V2)) -> mark#(U43(isLNatKind(V2),V1,V2))
   active#(U43(tt(),V1,V2)) -> isLNatKind#(V2)
   active#(U43(tt(),V1,V2)) -> U44#(isLNatKind(V2),V1,V2)
   active#(U43(tt(),V1,V2)) -> mark#(U44(isLNatKind(V2),V1,V2))
   active#(U44(tt(),V1,V2)) -> isNatural#(V1)
   active#(U44(tt(),V1,V2)) -> U45#(isNatural(V1),V2)
   active#(U44(tt(),V1,V2)) -> mark#(U45(isNatural(V1),V2))
   active#(U45(tt(),V2)) -> isLNat#(V2)
   active#(U45(tt(),V2)) -> U46#(isLNat(V2))
   active#(U45(tt(),V2)) -> mark#(U46(isLNat(V2)))
   active#(U46(tt())) -> mark#(tt())
   active#(U51(tt(),V1,V2)) -> isNaturalKind#(V1)
   active#(U51(tt(),V1,V2)) -> U52#(isNaturalKind(V1),V1,V2)
   active#(U51(tt(),V1,V2)) -> mark#(U52(isNaturalKind(V1),V1,V2))
   active#(U52(tt(),V1,V2)) -> isLNatKind#(V2)
   active#(U52(tt(),V1,V2)) -> U53#(isLNatKind(V2),V1,V2)
   active#(U52(tt(),V1,V2)) -> mark#(U53(isLNatKind(V2),V1,V2))
   active#(U53(tt(),V1,V2)) -> isLNatKind#(V2)
   active#(U53(tt(),V1,V2)) -> U54#(isLNatKind(V2),V1,V2)
   active#(U53(tt(),V1,V2)) -> mark#(U54(isLNatKind(V2),V1,V2))
   active#(U54(tt(),V1,V2)) -> isNatural#(V1)
   active#(U54(tt(),V1,V2)) -> U55#(isNatural(V1),V2)
   active#(U54(tt(),V1,V2)) -> mark#(U55(isNatural(V1),V2))
   active#(U55(tt(),V2)) -> isLNat#(V2)
   active#(U55(tt(),V2)) -> U56#(isLNat(V2))
   active#(U55(tt(),V2)) -> mark#(U56(isLNat(V2)))
   active#(U56(tt())) -> mark#(tt())
   active#(U61(tt(),V1)) -> isPLNatKind#(V1)
   active#(U61(tt(),V1)) -> U62#(isPLNatKind(V1),V1)
   active#(U61(tt(),V1)) -> mark#(U62(isPLNatKind(V1),V1))
   active#(U62(tt(),V1)) -> isPLNat#(V1)
   active#(U62(tt(),V1)) -> U63#(isPLNat(V1))
   active#(U62(tt(),V1)) -> mark#(U63(isPLNat(V1)))
   active#(U63(tt())) -> mark#(tt())
   active#(U71(tt(),V1)) -> isNaturalKind#(V1)
   active#(U71(tt(),V1)) -> U72#(isNaturalKind(V1),V1)
   active#(U71(tt(),V1)) -> mark#(U72(isNaturalKind(V1),V1))
   active#(U72(tt(),V1)) -> isNatural#(V1)
   active#(U72(tt(),V1)) -> U73#(isNatural(V1))
   active#(U72(tt(),V1)) -> mark#(U73(isNatural(V1)))
   active#(U73(tt())) -> mark#(tt())
   active#(U81(tt(),V1)) -> isPLNatKind#(V1)
   active#(U81(tt(),V1)) -> U82#(isPLNatKind(V1),V1)
   active#(U81(tt(),V1)) -> mark#(U82(isPLNatKind(V1),V1))
   active#(U82(tt(),V1)) -> isPLNat#(V1)
   active#(U82(tt(),V1)) -> U83#(isPLNat(V1))
   active#(U82(tt(),V1)) -> mark#(U83(isPLNat(V1)))
   active#(U83(tt())) -> mark#(tt())
   active#(U91(tt(),V1)) -> isLNatKind#(V1)
   active#(U91(tt(),V1)) -> U92#(isLNatKind(V1),V1)
   active#(U91(tt(),V1)) -> mark#(U92(isLNatKind(V1),V1))
   active#(U92(tt(),V1)) -> isLNat#(V1)
   active#(U92(tt(),V1)) -> U93#(isLNat(V1))
   active#(U92(tt(),V1)) -> mark#(U93(isLNat(V1)))
   active#(U93(tt())) -> mark#(tt())
   active#(afterNth(N,XS)) -> isNatural#(N)
   active#(afterNth(N,XS)) -> U11#(isNatural(N),N,XS)
   active#(afterNth(N,XS)) -> mark#(U11(isNatural(N),N,XS))
   active#(fst(pair(X,Y))) -> isLNat#(X)
   active#(fst(pair(X,Y))) -> U21#(isLNat(X),X,Y)
   active#(fst(pair(X,Y))) -> mark#(U21(isLNat(X),X,Y))
   active#(head(cons(N,XS))) -> isNatural#(N)
   active#(head(cons(N,XS))) -> U31#(isNatural(N),N,XS)
   active#(head(cons(N,XS))) -> mark#(U31(isNatural(N),N,XS))
   active#(isLNat(nil())) -> mark#(tt())
   active#(isLNat(afterNth(V1,V2))) -> isNaturalKind#(V1)
   active#(isLNat(afterNth(V1,V2))) -> U41#(isNaturalKind(V1),V1,V2)
   active#(isLNat(afterNth(V1,V2))) -> mark#(U41(isNaturalKind(V1),V1,V2))
   active#(isLNat(cons(V1,V2))) -> isNaturalKind#(V1)
   active#(isLNat(cons(V1,V2))) -> U51#(isNaturalKind(V1),V1,V2)
   active#(isLNat(cons(V1,V2))) -> mark#(U51(isNaturalKind(V1),V1,V2))
   active#(isLNat(fst(V1))) -> isPLNatKind#(V1)
   active#(isLNat(fst(V1))) -> U61#(isPLNatKind(V1),V1)
   active#(isLNat(fst(V1))) -> mark#(U61(isPLNatKind(V1),V1))
   active#(isLNat(natsFrom(V1))) -> isNaturalKind#(V1)
   active#(isLNat(natsFrom(V1))) -> U71#(isNaturalKind(V1),V1)
   active#(isLNat(natsFrom(V1))) -> mark#(U71(isNaturalKind(V1),V1))
   active#(isLNat(snd(V1))) -> isPLNatKind#(V1)
   active#(isLNat(snd(V1))) -> U81#(isPLNatKind(V1),V1)
   active#(isLNat(snd(V1))) -> mark#(U81(isPLNatKind(V1),V1))
   active#(isLNat(tail(V1))) -> isLNatKind#(V1)
   active#(isLNat(tail(V1))) -> U91#(isLNatKind(V1),V1)
   active#(isLNat(tail(V1))) -> mark#(U91(isLNatKind(V1),V1))
   active#(isLNat(take(V1,V2))) -> isNaturalKind#(V1)
   active#(isLNat(take(V1,V2))) -> U101#(isNaturalKind(V1),V1,V2)
   active#(isLNat(take(V1,V2))) -> mark#(U101(isNaturalKind(V1),V1,V2))
   active#(isLNatKind(nil())) -> mark#(tt())
   active#(isLNatKind(afterNth(V1,V2))) -> isNaturalKind#(V1)
   active#(isLNatKind(afterNth(V1,V2))) -> U111#(isNaturalKind(V1),V2)
   active#(isLNatKind(afterNth(V1,V2))) -> mark#(U111(isNaturalKind(V1),V2))
   active#(isLNatKind(cons(V1,V2))) -> isNaturalKind#(V1)
   active#(isLNatKind(cons(V1,V2))) -> U121#(isNaturalKind(V1),V2)
   active#(isLNatKind(cons(V1,V2))) -> mark#(U121(isNaturalKind(V1),V2))
   active#(isLNatKind(fst(V1))) -> isPLNatKind#(V1)
   active#(isLNatKind(fst(V1))) -> U131#(isPLNatKind(V1))
   active#(isLNatKind(fst(V1))) -> mark#(U131(isPLNatKind(V1)))
   active#(isLNatKind(natsFrom(V1))) -> isNaturalKind#(V1)
   active#(isLNatKind(natsFrom(V1))) -> U141#(isNaturalKind(V1))
   active#(isLNatKind(natsFrom(V1))) -> mark#(U141(isNaturalKind(V1)))
   active#(isLNatKind(snd(V1))) -> isPLNatKind#(V1)
   active#(isLNatKind(snd(V1))) -> U151#(isPLNatKind(V1))
   active#(isLNatKind(snd(V1))) -> mark#(U151(isPLNatKind(V1)))
   active#(isLNatKind(tail(V1))) -> isLNatKind#(V1)
   active#(isLNatKind(tail(V1))) -> U161#(isLNatKind(V1))
   active#(isLNatKind(tail(V1))) -> mark#(U161(isLNatKind(V1)))
   active#(isLNatKind(take(V1,V2))) -> isNaturalKind#(V1)
   active#(isLNatKind(take(V1,V2))) -> U171#(isNaturalKind(V1),V2)
   active#(isLNatKind(take(V1,V2))) -> mark#(U171(isNaturalKind(V1),V2))
   active#(isNatural(0())) -> mark#(tt())
   active#(isNatural(head(V1))) -> isLNatKind#(V1)
   active#(isNatural(head(V1))) -> U181#(isLNatKind(V1),V1)
   active#(isNatural(head(V1))) -> mark#(U181(isLNatKind(V1),V1))
   active#(isNatural(s(V1))) -> isNaturalKind#(V1)
   active#(isNatural(s(V1))) -> U191#(isNaturalKind(V1),V1)
   active#(isNatural(s(V1))) -> mark#(U191(isNaturalKind(V1),V1))
   active#(isNatural(sel(V1,V2))) -> isNaturalKind#(V1)
   active#(isNatural(sel(V1,V2))) -> U201#(isNaturalKind(V1),V1,V2)
   active#(isNatural(sel(V1,V2))) -> mark#(U201(isNaturalKind(V1),V1,V2))
   active#(isNaturalKind(0())) -> mark#(tt())
   active#(isNaturalKind(head(V1))) -> isLNatKind#(V1)
   active#(isNaturalKind(head(V1))) -> U211#(isLNatKind(V1))
   active#(isNaturalKind(head(V1))) -> mark#(U211(isLNatKind(V1)))
   active#(isNaturalKind(s(V1))) -> isNaturalKind#(V1)
   active#(isNaturalKind(s(V1))) -> U221#(isNaturalKind(V1))
   active#(isNaturalKind(s(V1))) -> mark#(U221(isNaturalKind(V1)))
   active#(isNaturalKind(sel(V1,V2))) -> isNaturalKind#(V1)
   active#(isNaturalKind(sel(V1,V2))) -> U231#(isNaturalKind(V1),V2)
   active#(isNaturalKind(sel(V1,V2))) -> mark#(U231(isNaturalKind(V1),V2))
   active#(isPLNat(pair(V1,V2))) -> isLNatKind#(V1)
   active#(isPLNat(pair(V1,V2))) -> U241#(isLNatKind(V1),V1,V2)
   active#(isPLNat(pair(V1,V2))) -> mark#(U241(isLNatKind(V1),V1,V2))
   active#(isPLNat(splitAt(V1,V2))) -> isNaturalKind#(V1)
   active#(isPLNat(splitAt(V1,V2))) -> U251#(isNaturalKind(V1),V1,V2)
   active#(isPLNat(splitAt(V1,V2))) -> mark#(U251(isNaturalKind(V1),V1,V2))
   active#(isPLNatKind(pair(V1,V2))) -> isLNatKind#(V1)
   active#(isPLNatKind(pair(V1,V2))) -> U261#(isLNatKind(V1),V2)
   active#(isPLNatKind(pair(V1,V2))) -> mark#(U261(isLNatKind(V1),V2))
   active#(isPLNatKind(splitAt(V1,V2))) -> isNaturalKind#(V1)
   active#(isPLNatKind(splitAt(V1,V2))) -> U271#(isNaturalKind(V1),V2)
   active#(isPLNatKind(splitAt(V1,V2))) -> mark#(U271(isNaturalKind(V1),V2))
   active#(natsFrom(N)) -> isNatural#(N)
   active#(natsFrom(N)) -> U281#(isNatural(N),N)
   active#(natsFrom(N)) -> mark#(U281(isNatural(N),N))
   active#(sel(N,XS)) -> isNatural#(N)
   active#(sel(N,XS)) -> U291#(isNatural(N),N,XS)
   active#(sel(N,XS)) -> mark#(U291(isNatural(N),N,XS))
   active#(snd(pair(X,Y))) -> isLNat#(X)
   active#(snd(pair(X,Y))) -> U301#(isLNat(X),X,Y)
   active#(snd(pair(X,Y))) -> mark#(U301(isLNat(X),X,Y))
   active#(splitAt(0(),XS)) -> isLNat#(XS)
   active#(splitAt(0(),XS)) -> U311#(isLNat(XS),XS)
   active#(splitAt(0(),XS)) -> mark#(U311(isLNat(XS),XS))
   active#(splitAt(s(N),cons(X,XS))) -> isNatural#(N)
   active#(splitAt(s(N),cons(X,XS))) -> U321#(isNatural(N),N,X,XS)
   active#(splitAt(s(N),cons(X,XS))) -> mark#(U321(isNatural(N),N,X,XS))
   active#(tail(cons(N,XS))) -> isNatural#(N)
   active#(tail(cons(N,XS))) -> U331#(isNatural(N),N,XS)
   active#(tail(cons(N,XS))) -> mark#(U331(isNatural(N),N,XS))
   active#(take(N,XS)) -> isNatural#(N)
   active#(take(N,XS)) -> U341#(isNatural(N),N,XS)
   active#(take(N,XS)) -> mark#(U341(isNatural(N),N,XS))
   mark#(U101(X1,X2,X3)) -> mark#(X1)
   mark#(U101(X1,X2,X3)) -> U101#(mark(X1),X2,X3)
   mark#(U101(X1,X2,X3)) -> active#(U101(mark(X1),X2,X3))
   mark#(tt()) -> active#(tt())
   mark#(U102(X1,X2,X3)) -> mark#(X1)
   mark#(U102(X1,X2,X3)) -> U102#(mark(X1),X2,X3)
   mark#(U102(X1,X2,X3)) -> active#(U102(mark(X1),X2,X3))
   mark#(isNaturalKind(X)) -> active#(isNaturalKind(X))
   mark#(U103(X1,X2,X3)) -> mark#(X1)
   mark#(U103(X1,X2,X3)) -> U103#(mark(X1),X2,X3)
   mark#(U103(X1,X2,X3)) -> active#(U103(mark(X1),X2,X3))
   mark#(isLNatKind(X)) -> active#(isLNatKind(X))
   mark#(U104(X1,X2,X3)) -> mark#(X1)
   mark#(U104(X1,X2,X3)) -> U104#(mark(X1),X2,X3)
   mark#(U104(X1,X2,X3)) -> active#(U104(mark(X1),X2,X3))
   mark#(U105(X1,X2)) -> mark#(X1)
   mark#(U105(X1,X2)) -> U105#(mark(X1),X2)
   mark#(U105(X1,X2)) -> active#(U105(mark(X1),X2))
   mark#(isNatural(X)) -> active#(isNatural(X))
   mark#(U106(X)) -> mark#(X)
   mark#(U106(X)) -> U106#(mark(X))
   mark#(U106(X)) -> active#(U106(mark(X)))
   mark#(isLNat(X)) -> active#(isLNat(X))
   mark#(U11(X1,X2,X3)) -> mark#(X1)
   mark#(U11(X1,X2,X3)) -> U11#(mark(X1),X2,X3)
   mark#(U11(X1,X2,X3)) -> active#(U11(mark(X1),X2,X3))
   mark#(U12(X1,X2,X3)) -> mark#(X1)
   mark#(U12(X1,X2,X3)) -> U12#(mark(X1),X2,X3)
   mark#(U12(X1,X2,X3)) -> active#(U12(mark(X1),X2,X3))
   mark#(U111(X1,X2)) -> mark#(X1)
   mark#(U111(X1,X2)) -> U111#(mark(X1),X2)
   mark#(U111(X1,X2)) -> active#(U111(mark(X1),X2))
   mark#(U112(X)) -> mark#(X)
   mark#(U112(X)) -> U112#(mark(X))
   mark#(U112(X)) -> active#(U112(mark(X)))
   mark#(U13(X1,X2,X3)) -> mark#(X1)
   mark#(U13(X1,X2,X3)) -> U13#(mark(X1),X2,X3)
   mark#(U13(X1,X2,X3)) -> active#(U13(mark(X1),X2,X3))
   mark#(U121(X1,X2)) -> mark#(X1)
   mark#(U121(X1,X2)) -> U121#(mark(X1),X2)
   mark#(U121(X1,X2)) -> active#(U121(mark(X1),X2))
   mark#(U122(X)) -> mark#(X)
   mark#(U122(X)) -> U122#(mark(X))
   mark#(U122(X)) -> active#(U122(mark(X)))
   mark#(U14(X1,X2,X3)) -> mark#(X1)
   mark#(U14(X1,X2,X3)) -> U14#(mark(X1),X2,X3)
   mark#(U14(X1,X2,X3)) -> active#(U14(mark(X1),X2,X3))
   mark#(U131(X)) -> mark#(X)
   mark#(U131(X)) -> U131#(mark(X))
   mark#(U131(X)) -> active#(U131(mark(X)))
   mark#(snd(X)) -> mark#(X)
   mark#(snd(X)) -> snd#(mark(X))
   mark#(snd(X)) -> active#(snd(mark(X)))
   mark#(splitAt(X1,X2)) -> mark#(X2)
   mark#(splitAt(X1,X2)) -> mark#(X1)
   mark#(splitAt(X1,X2)) -> splitAt#(mark(X1),mark(X2))
   mark#(splitAt(X1,X2)) -> active#(splitAt(mark(X1),mark(X2)))
   mark#(U141(X)) -> mark#(X)
   mark#(U141(X)) -> U141#(mark(X))
   mark#(U141(X)) -> active#(U141(mark(X)))
   mark#(U151(X)) -> mark#(X)
   mark#(U151(X)) -> U151#(mark(X))
   mark#(U151(X)) -> active#(U151(mark(X)))
   mark#(U161(X)) -> mark#(X)
   mark#(U161(X)) -> U161#(mark(X))
   mark#(U161(X)) -> active#(U161(mark(X)))
   mark#(U171(X1,X2)) -> mark#(X1)
   mark#(U171(X1,X2)) -> U171#(mark(X1),X2)
   mark#(U171(X1,X2)) -> active#(U171(mark(X1),X2))
   mark#(U172(X)) -> mark#(X)
   mark#(U172(X)) -> U172#(mark(X))
   mark#(U172(X)) -> active#(U172(mark(X)))
   mark#(U181(X1,X2)) -> mark#(X1)
   mark#(U181(X1,X2)) -> U181#(mark(X1),X2)
   mark#(U181(X1,X2)) -> active#(U181(mark(X1),X2))
   mark#(U182(X1,X2)) -> mark#(X1)
   mark#(U182(X1,X2)) -> U182#(mark(X1),X2)
   mark#(U182(X1,X2)) -> active#(U182(mark(X1),X2))
   mark#(U183(X)) -> mark#(X)
   mark#(U183(X)) -> U183#(mark(X))
   mark#(U183(X)) -> active#(U183(mark(X)))
   mark#(U191(X1,X2)) -> mark#(X1)
   mark#(U191(X1,X2)) -> U191#(mark(X1),X2)
   mark#(U191(X1,X2)) -> active#(U191(mark(X1),X2))
   mark#(U192(X1,X2)) -> mark#(X1)
   mark#(U192(X1,X2)) -> U192#(mark(X1),X2)
   mark#(U192(X1,X2)) -> active#(U192(mark(X1),X2))
   mark#(U193(X)) -> mark#(X)
   mark#(U193(X)) -> U193#(mark(X))
   mark#(U193(X)) -> active#(U193(mark(X)))
   mark#(U201(X1,X2,X3)) -> mark#(X1)
   mark#(U201(X1,X2,X3)) -> U201#(mark(X1),X2,X3)
   mark#(U201(X1,X2,X3)) -> active#(U201(mark(X1),X2,X3))
   mark#(U202(X1,X2,X3)) -> mark#(X1)
   mark#(U202(X1,X2,X3)) -> U202#(mark(X1),X2,X3)
   mark#(U202(X1,X2,X3)) -> active#(U202(mark(X1),X2,X3))
   mark#(U203(X1,X2,X3)) -> mark#(X1)
   mark#(U203(X1,X2,X3)) -> U203#(mark(X1),X2,X3)
   mark#(U203(X1,X2,X3)) -> active#(U203(mark(X1),X2,X3))
   mark#(U204(X1,X2,X3)) -> mark#(X1)
   mark#(U204(X1,X2,X3)) -> U204#(mark(X1),X2,X3)
   mark#(U204(X1,X2,X3)) -> active#(U204(mark(X1),X2,X3))
   mark#(U205(X1,X2)) -> mark#(X1)
   mark#(U205(X1,X2)) -> U205#(mark(X1),X2)
   mark#(U205(X1,X2)) -> active#(U205(mark(X1),X2))
   mark#(U206(X)) -> mark#(X)
   mark#(U206(X)) -> U206#(mark(X))
   mark#(U206(X)) -> active#(U206(mark(X)))
   mark#(U21(X1,X2,X3)) -> mark#(X1)
   mark#(U21(X1,X2,X3)) -> U21#(mark(X1),X2,X3)
   mark#(U21(X1,X2,X3)) -> active#(U21(mark(X1),X2,X3))
   mark#(U22(X1,X2,X3)) -> mark#(X1)
   mark#(U22(X1,X2,X3)) -> U22#(mark(X1),X2,X3)
   mark#(U22(X1,X2,X3)) -> active#(U22(mark(X1),X2,X3))
   mark#(U211(X)) -> mark#(X)
   mark#(U211(X)) -> U211#(mark(X))
   mark#(U211(X)) -> active#(U211(mark(X)))
   mark#(U23(X1,X2,X3)) -> mark#(X1)
   mark#(U23(X1,X2,X3)) -> U23#(mark(X1),X2,X3)
   mark#(U23(X1,X2,X3)) -> active#(U23(mark(X1),X2,X3))
   mark#(U221(X)) -> mark#(X)
   mark#(U221(X)) -> U221#(mark(X))
   mark#(U221(X)) -> active#(U221(mark(X)))
   mark#(U24(X1,X2)) -> mark#(X1)
   mark#(U24(X1,X2)) -> U24#(mark(X1),X2)
   mark#(U24(X1,X2)) -> active#(U24(mark(X1),X2))
   mark#(U231(X1,X2)) -> mark#(X1)
   mark#(U231(X1,X2)) -> U231#(mark(X1),X2)
   mark#(U231(X1,X2)) -> active#(U231(mark(X1),X2))
   mark#(U232(X)) -> mark#(X)
   mark#(U232(X)) -> U232#(mark(X))
   mark#(U232(X)) -> active#(U232(mark(X)))
   mark#(U241(X1,X2,X3)) -> mark#(X1)
   mark#(U241(X1,X2,X3)) -> U241#(mark(X1),X2,X3)
   mark#(U241(X1,X2,X3)) -> active#(U241(mark(X1),X2,X3))
   mark#(U242(X1,X2,X3)) -> mark#(X1)
   mark#(U242(X1,X2,X3)) -> U242#(mark(X1),X2,X3)
   mark#(U242(X1,X2,X3)) -> active#(U242(mark(X1),X2,X3))
   mark#(U243(X1,X2,X3)) -> mark#(X1)
   mark#(U243(X1,X2,X3)) -> U243#(mark(X1),X2,X3)
   mark#(U243(X1,X2,X3)) -> active#(U243(mark(X1),X2,X3))
   mark#(U244(X1,X2,X3)) -> mark#(X1)
   mark#(U244(X1,X2,X3)) -> U244#(mark(X1),X2,X3)
   mark#(U244(X1,X2,X3)) -> active#(U244(mark(X1),X2,X3))
   mark#(U245(X1,X2)) -> mark#(X1)
   mark#(U245(X1,X2)) -> U245#(mark(X1),X2)
   mark#(U245(X1,X2)) -> active#(U245(mark(X1),X2))
   mark#(U246(X)) -> mark#(X)
   mark#(U246(X)) -> U246#(mark(X))
   mark#(U246(X)) -> active#(U246(mark(X)))
   mark#(U251(X1,X2,X3)) -> mark#(X1)
   mark#(U251(X1,X2,X3)) -> U251#(mark(X1),X2,X3)
   mark#(U251(X1,X2,X3)) -> active#(U251(mark(X1),X2,X3))
   mark#(U252(X1,X2,X3)) -> mark#(X1)
   mark#(U252(X1,X2,X3)) -> U252#(mark(X1),X2,X3)
   mark#(U252(X1,X2,X3)) -> active#(U252(mark(X1),X2,X3))
   mark#(U253(X1,X2,X3)) -> mark#(X1)
   mark#(U253(X1,X2,X3)) -> U253#(mark(X1),X2,X3)
   mark#(U253(X1,X2,X3)) -> active#(U253(mark(X1),X2,X3))
   mark#(U254(X1,X2,X3)) -> mark#(X1)
   mark#(U254(X1,X2,X3)) -> U254#(mark(X1),X2,X3)
   mark#(U254(X1,X2,X3)) -> active#(U254(mark(X1),X2,X3))
   mark#(U255(X1,X2)) -> mark#(X1)
   mark#(U255(X1,X2)) -> U255#(mark(X1),X2)
   mark#(U255(X1,X2)) -> active#(U255(mark(X1),X2))
   mark#(U256(X)) -> mark#(X)
   mark#(U256(X)) -> U256#(mark(X))
   mark#(U256(X)) -> active#(U256(mark(X)))
   mark#(U261(X1,X2)) -> mark#(X1)
   mark#(U261(X1,X2)) -> U261#(mark(X1),X2)
   mark#(U261(X1,X2)) -> active#(U261(mark(X1),X2))
   mark#(U262(X)) -> mark#(X)
   mark#(U262(X)) -> U262#(mark(X))
   mark#(U262(X)) -> active#(U262(mark(X)))
   mark#(U271(X1,X2)) -> mark#(X1)
   mark#(U271(X1,X2)) -> U271#(mark(X1),X2)
   mark#(U271(X1,X2)) -> active#(U271(mark(X1),X2))
   mark#(U272(X)) -> mark#(X)
   mark#(U272(X)) -> U272#(mark(X))
   mark#(U272(X)) -> active#(U272(mark(X)))
   mark#(U281(X1,X2)) -> mark#(X1)
   mark#(U281(X1,X2)) -> U281#(mark(X1),X2)
   mark#(U281(X1,X2)) -> active#(U281(mark(X1),X2))
   mark#(U282(X1,X2)) -> mark#(X1)
   mark#(U282(X1,X2)) -> U282#(mark(X1),X2)
   mark#(U282(X1,X2)) -> active#(U282(mark(X1),X2))
   mark#(cons(X1,X2)) -> mark#(X1)
   mark#(cons(X1,X2)) -> cons#(mark(X1),X2)
   mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2))
   mark#(natsFrom(X)) -> mark#(X)
   mark#(natsFrom(X)) -> natsFrom#(mark(X))
   mark#(natsFrom(X)) -> active#(natsFrom(mark(X)))
   mark#(s(X)) -> mark#(X)
   mark#(s(X)) -> s#(mark(X))
   mark#(s(X)) -> active#(s(mark(X)))
   mark#(U291(X1,X2,X3)) -> mark#(X1)
   mark#(U291(X1,X2,X3)) -> U291#(mark(X1),X2,X3)
   mark#(U291(X1,X2,X3)) -> active#(U291(mark(X1),X2,X3))
   mark#(U292(X1,X2,X3)) -> mark#(X1)
   mark#(U292(X1,X2,X3)) -> U292#(mark(X1),X2,X3)
   mark#(U292(X1,X2,X3)) -> active#(U292(mark(X1),X2,X3))
   mark#(U293(X1,X2,X3)) -> mark#(X1)
   mark#(U293(X1,X2,X3)) -> U293#(mark(X1),X2,X3)
   mark#(U293(X1,X2,X3)) -> active#(U293(mark(X1),X2,X3))
   mark#(U294(X1,X2,X3)) -> mark#(X1)
   mark#(U294(X1,X2,X3)) -> U294#(mark(X1),X2,X3)
   mark#(U294(X1,X2,X3)) -> active#(U294(mark(X1),X2,X3))
   mark#(head(X)) -> mark#(X)
   mark#(head(X)) -> head#(mark(X))
   mark#(head(X)) -> active#(head(mark(X)))
   mark#(afterNth(X1,X2)) -> mark#(X2)
   mark#(afterNth(X1,X2)) -> mark#(X1)
   mark#(afterNth(X1,X2)) -> afterNth#(mark(X1),mark(X2))
   mark#(afterNth(X1,X2)) -> active#(afterNth(mark(X1),mark(X2)))
   mark#(U301(X1,X2,X3)) -> mark#(X1)
   mark#(U301(X1,X2,X3)) -> U301#(mark(X1),X2,X3)
   mark#(U301(X1,X2,X3)) -> active#(U301(mark(X1),X2,X3))
   mark#(U302(X1,X2)) -> mark#(X1)
   mark#(U302(X1,X2)) -> U302#(mark(X1),X2)
   mark#(U302(X1,X2)) -> active#(U302(mark(X1),X2))
   mark#(U303(X1,X2)) -> mark#(X1)
   mark#(U303(X1,X2)) -> U303#(mark(X1),X2)
   mark#(U303(X1,X2)) -> active#(U303(mark(X1),X2))
   mark#(U304(X1,X2)) -> mark#(X1)
   mark#(U304(X1,X2)) -> U304#(mark(X1),X2)
   mark#(U304(X1,X2)) -> active#(U304(mark(X1),X2))
   mark#(U31(X1,X2,X3)) -> mark#(X1)
   mark#(U31(X1,X2,X3)) -> U31#(mark(X1),X2,X3)
   mark#(U31(X1,X2,X3)) -> active#(U31(mark(X1),X2,X3))
   mark#(U32(X1,X2,X3)) -> mark#(X1)
   mark#(U32(X1,X2,X3)) -> U32#(mark(X1),X2,X3)
   mark#(U32(X1,X2,X3)) -> active#(U32(mark(X1),X2,X3))
   mark#(U311(X1,X2)) -> mark#(X1)
   mark#(U311(X1,X2)) -> U311#(mark(X1),X2)
   mark#(U311(X1,X2)) -> active#(U311(mark(X1),X2))
   mark#(U312(X1,X2)) -> mark#(X1)
   mark#(U312(X1,X2)) -> U312#(mark(X1),X2)
   mark#(U312(X1,X2)) -> active#(U312(mark(X1),X2))
   mark#(pair(X1,X2)) -> mark#(X2)
   mark#(pair(X1,X2)) -> mark#(X1)
   mark#(pair(X1,X2)) -> pair#(mark(X1),mark(X2))
   mark#(pair(X1,X2)) -> active#(pair(mark(X1),mark(X2)))
   mark#(nil()) -> active#(nil())
   mark#(U33(X1,X2,X3)) -> mark#(X1)
   mark#(U33(X1,X2,X3)) -> U33#(mark(X1),X2,X3)
   mark#(U33(X1,X2,X3)) -> active#(U33(mark(X1),X2,X3))
   mark#(U321(X1,X2,X3,X4)) -> mark#(X1)
   mark#(U321(X1,X2,X3,X4)) -> U321#(mark(X1),X2,X3,X4)
   mark#(U321(X1,X2,X3,X4)) -> active#(U321(mark(X1),X2,X3,X4))
   mark#(U322(X1,X2,X3,X4)) -> mark#(X1)
   mark#(U322(X1,X2,X3,X4)) -> U322#(mark(X1),X2,X3,X4)
   mark#(U322(X1,X2,X3,X4)) -> active#(U322(mark(X1),X2,X3,X4))
   mark#(U323(X1,X2,X3,X4)) -> mark#(X1)
   mark#(U323(X1,X2,X3,X4)) -> U323#(mark(X1),X2,X3,X4)
   mark#(U323(X1,X2,X3,X4)) -> active#(U323(mark(X1),X2,X3,X4))
   mark#(U324(X1,X2,X3,X4)) -> mark#(X1)
   mark#(U324(X1,X2,X3,X4)) -> U324#(mark(X1),X2,X3,X4)
   mark#(U324(X1,X2,X3,X4)) -> active#(U324(mark(X1),X2,X3,X4))
   mark#(U325(X1,X2,X3,X4)) -> mark#(X1)
   mark#(U325(X1,X2,X3,X4)) -> U325#(mark(X1),X2,X3,X4)
   mark#(U325(X1,X2,X3,X4)) -> active#(U325(mark(X1),X2,X3,X4))
   mark#(U326(X1,X2,X3,X4)) -> mark#(X1)
   mark#(U326(X1,X2,X3,X4)) -> U326#(mark(X1),X2,X3,X4)
   mark#(U326(X1,X2,X3,X4)) -> active#(U326(mark(X1),X2,X3,X4))
   mark#(U327(X1,X2)) -> mark#(X1)
   mark#(U327(X1,X2)) -> U327#(mark(X1),X2)
   mark#(U327(X1,X2)) -> active#(U327(mark(X1),X2))
   mark#(U34(X1,X2)) -> mark#(X1)
   mark#(U34(X1,X2)) -> U34#(mark(X1),X2)
   mark#(U34(X1,X2)) -> active#(U34(mark(X1),X2))
   mark#(U331(X1,X2,X3)) -> mark#(X1)
   mark#(U331(X1,X2,X3)) -> U331#(mark(X1),X2,X3)
   mark#(U331(X1,X2,X3)) -> active#(U331(mark(X1),X2,X3))
   mark#(U332(X1,X2)) -> mark#(X1)
   mark#(U332(X1,X2)) -> U332#(mark(X1),X2)
   mark#(U332(X1,X2)) -> active#(U332(mark(X1),X2))
   mark#(U333(X1,X2)) -> mark#(X1)
   mark#(U333(X1,X2)) -> U333#(mark(X1),X2)
   mark#(U333(X1,X2)) -> active#(U333(mark(X1),X2))
   mark#(U334(X1,X2)) -> mark#(X1)
   mark#(U334(X1,X2)) -> U334#(mark(X1),X2)
   mark#(U334(X1,X2)) -> active#(U334(mark(X1),X2))
   mark#(U341(X1,X2,X3)) -> mark#(X1)
   mark#(U341(X1,X2,X3)) -> U341#(mark(X1),X2,X3)
   mark#(U341(X1,X2,X3)) -> active#(U341(mark(X1),X2,X3))
   mark#(U342(X1,X2,X3)) -> mark#(X1)
   mark#(U342(X1,X2,X3)) -> U342#(mark(X1),X2,X3)
   mark#(U342(X1,X2,X3)) -> active#(U342(mark(X1),X2,X3))
   mark#(U343(X1,X2,X3)) -> mark#(X1)
   mark#(U343(X1,X2,X3)) -> U343#(mark(X1),X2,X3)
   mark#(U343(X1,X2,X3)) -> active#(U343(mark(X1),X2,X3))
   mark#(U344(X1,X2,X3)) -> mark#(X1)
   mark#(U344(X1,X2,X3)) -> U344#(mark(X1),X2,X3)
   mark#(U344(X1,X2,X3)) -> active#(U344(mark(X1),X2,X3))
   mark#(fst(X)) -> mark#(X)
   mark#(fst(X)) -> fst#(mark(X))
   mark#(fst(X)) -> active#(fst(mark(X)))
   mark#(U41(X1,X2,X3)) -> mark#(X1)
   mark#(U41(X1,X2,X3)) -> U41#(mark(X1),X2,X3)
   mark#(U41(X1,X2,X3)) -> active#(U41(mark(X1),X2,X3))
   mark#(U42(X1,X2,X3)) -> mark#(X1)
   mark#(U42(X1,X2,X3)) -> U42#(mark(X1),X2,X3)
   mark#(U42(X1,X2,X3)) -> active#(U42(mark(X1),X2,X3))
   mark#(U43(X1,X2,X3)) -> mark#(X1)
   mark#(U43(X1,X2,X3)) -> U43#(mark(X1),X2,X3)
   mark#(U43(X1,X2,X3)) -> active#(U43(mark(X1),X2,X3))
   mark#(U44(X1,X2,X3)) -> mark#(X1)
   mark#(U44(X1,X2,X3)) -> U44#(mark(X1),X2,X3)
   mark#(U44(X1,X2,X3)) -> active#(U44(mark(X1),X2,X3))
   mark#(U45(X1,X2)) -> mark#(X1)
   mark#(U45(X1,X2)) -> U45#(mark(X1),X2)
   mark#(U45(X1,X2)) -> active#(U45(mark(X1),X2))
   mark#(U46(X)) -> mark#(X)
   mark#(U46(X)) -> U46#(mark(X))
   mark#(U46(X)) -> active#(U46(mark(X)))
   mark#(U51(X1,X2,X3)) -> mark#(X1)
   mark#(U51(X1,X2,X3)) -> U51#(mark(X1),X2,X3)
   mark#(U51(X1,X2,X3)) -> active#(U51(mark(X1),X2,X3))
   mark#(U52(X1,X2,X3)) -> mark#(X1)
   mark#(U52(X1,X2,X3)) -> U52#(mark(X1),X2,X3)
   mark#(U52(X1,X2,X3)) -> active#(U52(mark(X1),X2,X3))
   mark#(U53(X1,X2,X3)) -> mark#(X1)
   mark#(U53(X1,X2,X3)) -> U53#(mark(X1),X2,X3)
   mark#(U53(X1,X2,X3)) -> active#(U53(mark(X1),X2,X3))
   mark#(U54(X1,X2,X3)) -> mark#(X1)
   mark#(U54(X1,X2,X3)) -> U54#(mark(X1),X2,X3)
   mark#(U54(X1,X2,X3)) -> active#(U54(mark(X1),X2,X3))
   mark#(U55(X1,X2)) -> mark#(X1)
   mark#(U55(X1,X2)) -> U55#(mark(X1),X2)
   mark#(U55(X1,X2)) -> active#(U55(mark(X1),X2))
   mark#(U56(X)) -> mark#(X)
   mark#(U56(X)) -> U56#(mark(X))
   mark#(U56(X)) -> active#(U56(mark(X)))
   mark#(U61(X1,X2)) -> mark#(X1)
   mark#(U61(X1,X2)) -> U61#(mark(X1),X2)
   mark#(U61(X1,X2)) -> active#(U61(mark(X1),X2))
   mark#(U62(X1,X2)) -> mark#(X1)
   mark#(U62(X1,X2)) -> U62#(mark(X1),X2)
   mark#(U62(X1,X2)) -> active#(U62(mark(X1),X2))
   mark#(isPLNatKind(X)) -> active#(isPLNatKind(X))
   mark#(U63(X)) -> mark#(X)
   mark#(U63(X)) -> U63#(mark(X))
   mark#(U63(X)) -> active#(U63(mark(X)))
   mark#(isPLNat(X)) -> active#(isPLNat(X))
   mark#(U71(X1,X2)) -> mark#(X1)
   mark#(U71(X1,X2)) -> U71#(mark(X1),X2)
   mark#(U71(X1,X2)) -> active#(U71(mark(X1),X2))
   mark#(U72(X1,X2)) -> mark#(X1)
   mark#(U72(X1,X2)) -> U72#(mark(X1),X2)
   mark#(U72(X1,X2)) -> active#(U72(mark(X1),X2))
   mark#(U73(X)) -> mark#(X)
   mark#(U73(X)) -> U73#(mark(X))
   mark#(U73(X)) -> active#(U73(mark(X)))
   mark#(U81(X1,X2)) -> mark#(X1)
   mark#(U81(X1,X2)) -> U81#(mark(X1),X2)
   mark#(U81(X1,X2)) -> active#(U81(mark(X1),X2))
   mark#(U82(X1,X2)) -> mark#(X1)
   mark#(U82(X1,X2)) -> U82#(mark(X1),X2)
   mark#(U82(X1,X2)) -> active#(U82(mark(X1),X2))
   mark#(U83(X)) -> mark#(X)
   mark#(U83(X)) -> U83#(mark(X))
   mark#(U83(X)) -> active#(U83(mark(X)))
   mark#(U91(X1,X2)) -> mark#(X1)
   mark#(U91(X1,X2)) -> U91#(mark(X1),X2)
   mark#(U91(X1,X2)) -> active#(U91(mark(X1),X2))
   mark#(U92(X1,X2)) -> mark#(X1)
   mark#(U92(X1,X2)) -> U92#(mark(X1),X2)
   mark#(U92(X1,X2)) -> active#(U92(mark(X1),X2))
   mark#(U93(X)) -> mark#(X)
   mark#(U93(X)) -> U93#(mark(X))
   mark#(U93(X)) -> active#(U93(mark(X)))
   mark#(tail(X)) -> mark#(X)
   mark#(tail(X)) -> tail#(mark(X))
   mark#(tail(X)) -> active#(tail(mark(X)))
   mark#(take(X1,X2)) -> mark#(X2)
   mark#(take(X1,X2)) -> mark#(X1)
   mark#(take(X1,X2)) -> take#(mark(X1),mark(X2))
   mark#(take(X1,X2)) -> active#(take(mark(X1),mark(X2)))
   mark#(0()) -> active#(0())
   mark#(sel(X1,X2)) -> mark#(X2)
   mark#(sel(X1,X2)) -> mark#(X1)
   mark#(sel(X1,X2)) -> sel#(mark(X1),mark(X2))
   mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2)))
   U101#(mark(X1),X2,X3) -> U101#(X1,X2,X3)
   U101#(X1,mark(X2),X3) -> U101#(X1,X2,X3)
   U101#(X1,X2,mark(X3)) -> U101#(X1,X2,X3)
   U101#(active(X1),X2,X3) -> U101#(X1,X2,X3)
   U101#(X1,active(X2),X3) -> U101#(X1,X2,X3)
   U101#(X1,X2,active(X3)) -> U101#(X1,X2,X3)
   U102#(mark(X1),X2,X3) -> U102#(X1,X2,X3)
   U102#(X1,mark(X2),X3) -> U102#(X1,X2,X3)
   U102#(X1,X2,mark(X3)) -> U102#(X1,X2,X3)
   U102#(active(X1),X2,X3) -> U102#(X1,X2,X3)
   U102#(X1,active(X2),X3) -> U102#(X1,X2,X3)
   U102#(X1,X2,active(X3)) -> U102#(X1,X2,X3)
   isNaturalKind#(mark(X)) -> isNaturalKind#(X)
   isNaturalKind#(active(X)) -> isNaturalKind#(X)
   U103#(mark(X1),X2,X3) -> U103#(X1,X2,X3)
   U103#(X1,mark(X2),X3) -> U103#(X1,X2,X3)
   U103#(X1,X2,mark(X3)) -> U103#(X1,X2,X3)
   U103#(active(X1),X2,X3) -> U103#(X1,X2,X3)
   U103#(X1,active(X2),X3) -> U103#(X1,X2,X3)
   U103#(X1,X2,active(X3)) -> U103#(X1,X2,X3)
   isLNatKind#(mark(X)) -> isLNatKind#(X)
   isLNatKind#(active(X)) -> isLNatKind#(X)
   U104#(mark(X1),X2,X3) -> U104#(X1,X2,X3)
   U104#(X1,mark(X2),X3) -> U104#(X1,X2,X3)
   U104#(X1,X2,mark(X3)) -> U104#(X1,X2,X3)
   U104#(active(X1),X2,X3) -> U104#(X1,X2,X3)
   U104#(X1,active(X2),X3) -> U104#(X1,X2,X3)
   U104#(X1,X2,active(X3)) -> U104#(X1,X2,X3)
   U105#(mark(X1),X2) -> U105#(X1,X2)
   U105#(X1,mark(X2)) -> U105#(X1,X2)
   U105#(active(X1),X2) -> U105#(X1,X2)
   U105#(X1,active(X2)) -> U105#(X1,X2)
   isNatural#(mark(X)) -> isNatural#(X)
   isNatural#(active(X)) -> isNatural#(X)
   U106#(mark(X)) -> U106#(X)
   U106#(active(X)) -> U106#(X)
   isLNat#(mark(X)) -> isLNat#(X)
   isLNat#(active(X)) -> isLNat#(X)
   U11#(mark(X1),X2,X3) -> U11#(X1,X2,X3)
   U11#(X1,mark(X2),X3) -> U11#(X1,X2,X3)
   U11#(X1,X2,mark(X3)) -> U11#(X1,X2,X3)
   U11#(active(X1),X2,X3) -> U11#(X1,X2,X3)
   U11#(X1,active(X2),X3) -> U11#(X1,X2,X3)
   U11#(X1,X2,active(X3)) -> U11#(X1,X2,X3)
   U12#(mark(X1),X2,X3) -> U12#(X1,X2,X3)
   U12#(X1,mark(X2),X3) -> U12#(X1,X2,X3)
   U12#(X1,X2,mark(X3)) -> U12#(X1,X2,X3)
   U12#(active(X1),X2,X3) -> U12#(X1,X2,X3)
   U12#(X1,active(X2),X3) -> U12#(X1,X2,X3)
   U12#(X1,X2,active(X3)) -> U12#(X1,X2,X3)
   U111#(mark(X1),X2) -> U111#(X1,X2)
   U111#(X1,mark(X2)) -> U111#(X1,X2)
   U111#(active(X1),X2) -> U111#(X1,X2)
   U111#(X1,active(X2)) -> U111#(X1,X2)
   U112#(mark(X)) -> U112#(X)
   U112#(active(X)) -> U112#(X)
   U13#(mark(X1),X2,X3) -> U13#(X1,X2,X3)
   U13#(X1,mark(X2),X3) -> U13#(X1,X2,X3)
   U13#(X1,X2,mark(X3)) -> U13#(X1,X2,X3)
   U13#(active(X1),X2,X3) -> U13#(X1,X2,X3)
   U13#(X1,active(X2),X3) -> U13#(X1,X2,X3)
   U13#(X1,X2,active(X3)) -> U13#(X1,X2,X3)
   U121#(mark(X1),X2) -> U121#(X1,X2)
   U121#(X1,mark(X2)) -> U121#(X1,X2)
   U121#(active(X1),X2) -> U121#(X1,X2)
   U121#(X1,active(X2)) -> U121#(X1,X2)
   U122#(mark(X)) -> U122#(X)
   U122#(active(X)) -> U122#(X)
   U14#(mark(X1),X2,X3) -> U14#(X1,X2,X3)
   U14#(X1,mark(X2),X3) -> U14#(X1,X2,X3)
   U14#(X1,X2,mark(X3)) -> U14#(X1,X2,X3)
   U14#(active(X1),X2,X3) -> U14#(X1,X2,X3)
   U14#(X1,active(X2),X3) -> U14#(X1,X2,X3)
   U14#(X1,X2,active(X3)) -> U14#(X1,X2,X3)
   U131#(mark(X)) -> U131#(X)
   U131#(active(X)) -> U131#(X)
   snd#(mark(X)) -> snd#(X)
   snd#(active(X)) -> snd#(X)
   splitAt#(mark(X1),X2) -> splitAt#(X1,X2)
   splitAt#(X1,mark(X2)) -> splitAt#(X1,X2)
   splitAt#(active(X1),X2) -> splitAt#(X1,X2)
   splitAt#(X1,active(X2)) -> splitAt#(X1,X2)
   U141#(mark(X)) -> U141#(X)
   U141#(active(X)) -> U141#(X)
   U151#(mark(X)) -> U151#(X)
   U151#(active(X)) -> U151#(X)
   U161#(mark(X)) -> U161#(X)
   U161#(active(X)) -> U161#(X)
   U171#(mark(X1),X2) -> U171#(X1,X2)
   U171#(X1,mark(X2)) -> U171#(X1,X2)
   U171#(active(X1),X2) -> U171#(X1,X2)
   U171#(X1,active(X2)) -> U171#(X1,X2)
   U172#(mark(X)) -> U172#(X)
   U172#(active(X)) -> U172#(X)
   U181#(mark(X1),X2) -> U181#(X1,X2)
   U181#(X1,mark(X2)) -> U181#(X1,X2)
   U181#(active(X1),X2) -> U181#(X1,X2)
   U181#(X1,active(X2)) -> U181#(X1,X2)
   U182#(mark(X1),X2) -> U182#(X1,X2)
   U182#(X1,mark(X2)) -> U182#(X1,X2)
   U182#(active(X1),X2) -> U182#(X1,X2)
   U182#(X1,active(X2)) -> U182#(X1,X2)
   U183#(mark(X)) -> U183#(X)
   U183#(active(X)) -> U183#(X)
   U191#(mark(X1),X2) -> U191#(X1,X2)
   U191#(X1,mark(X2)) -> U191#(X1,X2)
   U191#(active(X1),X2) -> U191#(X1,X2)
   U191#(X1,active(X2)) -> U191#(X1,X2)
   U192#(mark(X1),X2) -> U192#(X1,X2)
   U192#(X1,mark(X2)) -> U192#(X1,X2)
   U192#(active(X1),X2) -> U192#(X1,X2)
   U192#(X1,active(X2)) -> U192#(X1,X2)
   U193#(mark(X)) -> U193#(X)
   U193#(active(X)) -> U193#(X)
   U201#(mark(X1),X2,X3) -> U201#(X1,X2,X3)
   U201#(X1,mark(X2),X3) -> U201#(X1,X2,X3)
   U201#(X1,X2,mark(X3)) -> U201#(X1,X2,X3)
   U201#(active(X1),X2,X3) -> U201#(X1,X2,X3)
   U201#(X1,active(X2),X3) -> U201#(X1,X2,X3)
   U201#(X1,X2,active(X3)) -> U201#(X1,X2,X3)
   U202#(mark(X1),X2,X3) -> U202#(X1,X2,X3)
   U202#(X1,mark(X2),X3) -> U202#(X1,X2,X3)
   U202#(X1,X2,mark(X3)) -> U202#(X1,X2,X3)
   U202#(active(X1),X2,X3) -> U202#(X1,X2,X3)
   U202#(X1,active(X2),X3) -> U202#(X1,X2,X3)
   U202#(X1,X2,active(X3)) -> U202#(X1,X2,X3)
   U203#(mark(X1),X2,X3) -> U203#(X1,X2,X3)
   U203#(X1,mark(X2),X3) -> U203#(X1,X2,X3)
   U203#(X1,X2,mark(X3)) -> U203#(X1,X2,X3)
   U203#(active(X1),X2,X3) -> U203#(X1,X2,X3)
   U203#(X1,active(X2),X3) -> U203#(X1,X2,X3)
   U203#(X1,X2,active(X3)) -> U203#(X1,X2,X3)
   U204#(mark(X1),X2,X3) -> U204#(X1,X2,X3)
   U204#(X1,mark(X2),X3) -> U204#(X1,X2,X3)
   U204#(X1,X2,mark(X3)) -> U204#(X1,X2,X3)
   U204#(active(X1),X2,X3) -> U204#(X1,X2,X3)
   U204#(X1,active(X2),X3) -> U204#(X1,X2,X3)
   U204#(X1,X2,active(X3)) -> U204#(X1,X2,X3)
   U205#(mark(X1),X2) -> U205#(X1,X2)
   U205#(X1,mark(X2)) -> U205#(X1,X2)
   U205#(active(X1),X2) -> U205#(X1,X2)
   U205#(X1,active(X2)) -> U205#(X1,X2)
   U206#(mark(X)) -> U206#(X)
   U206#(active(X)) -> U206#(X)
   U21#(mark(X1),X2,X3) -> U21#(X1,X2,X3)
   U21#(X1,mark(X2),X3) -> U21#(X1,X2,X3)
   U21#(X1,X2,mark(X3)) -> U21#(X1,X2,X3)
   U21#(active(X1),X2,X3) -> U21#(X1,X2,X3)
   U21#(X1,active(X2),X3) -> U21#(X1,X2,X3)
   U21#(X1,X2,active(X3)) -> U21#(X1,X2,X3)
   U22#(mark(X1),X2,X3) -> U22#(X1,X2,X3)
   U22#(X1,mark(X2),X3) -> U22#(X1,X2,X3)
   U22#(X1,X2,mark(X3)) -> U22#(X1,X2,X3)
   U22#(active(X1),X2,X3) -> U22#(X1,X2,X3)
   U22#(X1,active(X2),X3) -> U22#(X1,X2,X3)
   U22#(X1,X2,active(X3)) -> U22#(X1,X2,X3)
   U211#(mark(X)) -> U211#(X)
   U211#(active(X)) -> U211#(X)
   U23#(mark(X1),X2,X3) -> U23#(X1,X2,X3)
   U23#(X1,mark(X2),X3) -> U23#(X1,X2,X3)
   U23#(X1,X2,mark(X3)) -> U23#(X1,X2,X3)
   U23#(active(X1),X2,X3) -> U23#(X1,X2,X3)
   U23#(X1,active(X2),X3) -> U23#(X1,X2,X3)
   U23#(X1,X2,active(X3)) -> U23#(X1,X2,X3)
   U221#(mark(X)) -> U221#(X)
   U221#(active(X)) -> U221#(X)
   U24#(mark(X1),X2) -> U24#(X1,X2)
   U24#(X1,mark(X2)) -> U24#(X1,X2)
   U24#(active(X1),X2) -> U24#(X1,X2)
   U24#(X1,active(X2)) -> U24#(X1,X2)
   U231#(mark(X1),X2) -> U231#(X1,X2)
   U231#(X1,mark(X2)) -> U231#(X1,X2)
   U231#(active(X1),X2) -> U231#(X1,X2)
   U231#(X1,active(X2)) -> U231#(X1,X2)
   U232#(mark(X)) -> U232#(X)
   U232#(active(X)) -> U232#(X)
   U241#(mark(X1),X2,X3) -> U241#(X1,X2,X3)
   U241#(X1,mark(X2),X3) -> U241#(X1,X2,X3)
   U241#(X1,X2,mark(X3)) -> U241#(X1,X2,X3)
   U241#(active(X1),X2,X3) -> U241#(X1,X2,X3)
   U241#(X1,active(X2),X3) -> U241#(X1,X2,X3)
   U241#(X1,X2,active(X3)) -> U241#(X1,X2,X3)
   U242#(mark(X1),X2,X3) -> U242#(X1,X2,X3)
   U242#(X1,mark(X2),X3) -> U242#(X1,X2,X3)
   U242#(X1,X2,mark(X3)) -> U242#(X1,X2,X3)
   U242#(active(X1),X2,X3) -> U242#(X1,X2,X3)
   U242#(X1,active(X2),X3) -> U242#(X1,X2,X3)
   U242#(X1,X2,active(X3)) -> U242#(X1,X2,X3)
   U243#(mark(X1),X2,X3) -> U243#(X1,X2,X3)
   U243#(X1,mark(X2),X3) -> U243#(X1,X2,X3)
   U243#(X1,X2,mark(X3)) -> U243#(X1,X2,X3)
   U243#(active(X1),X2,X3) -> U243#(X1,X2,X3)
   U243#(X1,active(X2),X3) -> U243#(X1,X2,X3)
   U243#(X1,X2,active(X3)) -> U243#(X1,X2,X3)
   U244#(mark(X1),X2,X3) -> U244#(X1,X2,X3)
   U244#(X1,mark(X2),X3) -> U244#(X1,X2,X3)
   U244#(X1,X2,mark(X3)) -> U244#(X1,X2,X3)
   U244#(active(X1),X2,X3) -> U244#(X1,X2,X3)
   U244#(X1,active(X2),X3) -> U244#(X1,X2,X3)
   U244#(X1,X2,active(X3)) -> U244#(X1,X2,X3)
   U245#(mark(X1),X2) -> U245#(X1,X2)
   U245#(X1,mark(X2)) -> U245#(X1,X2)
   U245#(active(X1),X2) -> U245#(X1,X2)
   U245#(X1,active(X2)) -> U245#(X1,X2)
   U246#(mark(X)) -> U246#(X)
   U246#(active(X)) -> U246#(X)
   U251#(mark(X1),X2,X3) -> U251#(X1,X2,X3)
   U251#(X1,mark(X2),X3) -> U251#(X1,X2,X3)
   U251#(X1,X2,mark(X3)) -> U251#(X1,X2,X3)
   U251#(active(X1),X2,X3) -> U251#(X1,X2,X3)
   U251#(X1,active(X2),X3) -> U251#(X1,X2,X3)
   U251#(X1,X2,active(X3)) -> U251#(X1,X2,X3)
   U252#(mark(X1),X2,X3) -> U252#(X1,X2,X3)
   U252#(X1,mark(X2),X3) -> U252#(X1,X2,X3)
   U252#(X1,X2,mark(X3)) -> U252#(X1,X2,X3)
   U252#(active(X1),X2,X3) -> U252#(X1,X2,X3)
   U252#(X1,active(X2),X3) -> U252#(X1,X2,X3)
   U252#(X1,X2,active(X3)) -> U252#(X1,X2,X3)
   U253#(mark(X1),X2,X3) -> U253#(X1,X2,X3)
   U253#(X1,mark(X2),X3) -> U253#(X1,X2,X3)
   U253#(X1,X2,mark(X3)) -> U253#(X1,X2,X3)
   U253#(active(X1),X2,X3) -> U253#(X1,X2,X3)
   U253#(X1,active(X2),X3) -> U253#(X1,X2,X3)
   U253#(X1,X2,active(X3)) -> U253#(X1,X2,X3)
   U254#(mark(X1),X2,X3) -> U254#(X1,X2,X3)
   U254#(X1,mark(X2),X3) -> U254#(X1,X2,X3)
   U254#(X1,X2,mark(X3)) -> U254#(X1,X2,X3)
   U254#(active(X1),X2,X3) -> U254#(X1,X2,X3)
   U254#(X1,active(X2),X3) -> U254#(X1,X2,X3)
   U254#(X1,X2,active(X3)) -> U254#(X1,X2,X3)
   U255#(mark(X1),X2) -> U255#(X1,X2)
   U255#(X1,mark(X2)) -> U255#(X1,X2)
   U255#(active(X1),X2) -> U255#(X1,X2)
   U255#(X1,active(X2)) -> U255#(X1,X2)
   U256#(mark(X)) -> U256#(X)
   U256#(active(X)) -> U256#(X)
   U261#(mark(X1),X2) -> U261#(X1,X2)
   U261#(X1,mark(X2)) -> U261#(X1,X2)
   U261#(active(X1),X2) -> U261#(X1,X2)
   U261#(X1,active(X2)) -> U261#(X1,X2)
   U262#(mark(X)) -> U262#(X)
   U262#(active(X)) -> U262#(X)
   U271#(mark(X1),X2) -> U271#(X1,X2)
   U271#(X1,mark(X2)) -> U271#(X1,X2)
   U271#(active(X1),X2) -> U271#(X1,X2)
   U271#(X1,active(X2)) -> U271#(X1,X2)
   U272#(mark(X)) -> U272#(X)
   U272#(active(X)) -> U272#(X)
   U281#(mark(X1),X2) -> U281#(X1,X2)
   U281#(X1,mark(X2)) -> U281#(X1,X2)
   U281#(active(X1),X2) -> U281#(X1,X2)
   U281#(X1,active(X2)) -> U281#(X1,X2)
   U282#(mark(X1),X2) -> U282#(X1,X2)
   U282#(X1,mark(X2)) -> U282#(X1,X2)
   U282#(active(X1),X2) -> U282#(X1,X2)
   U282#(X1,active(X2)) -> U282#(X1,X2)
   cons#(mark(X1),X2) -> cons#(X1,X2)
   cons#(X1,mark(X2)) -> cons#(X1,X2)
   cons#(active(X1),X2) -> cons#(X1,X2)
   cons#(X1,active(X2)) -> cons#(X1,X2)
   natsFrom#(mark(X)) -> natsFrom#(X)
   natsFrom#(active(X)) -> natsFrom#(X)
   s#(mark(X)) -> s#(X)
   s#(active(X)) -> s#(X)
   U291#(mark(X1),X2,X3) -> U291#(X1,X2,X3)
   U291#(X1,mark(X2),X3) -> U291#(X1,X2,X3)
   U291#(X1,X2,mark(X3)) -> U291#(X1,X2,X3)
   U291#(active(X1),X2,X3) -> U291#(X1,X2,X3)
   U291#(X1,active(X2),X3) -> U291#(X1,X2,X3)
   U291#(X1,X2,active(X3)) -> U291#(X1,X2,X3)
   U292#(mark(X1),X2,X3) -> U292#(X1,X2,X3)
   U292#(X1,mark(X2),X3) -> U292#(X1,X2,X3)
   U292#(X1,X2,mark(X3)) -> U292#(X1,X2,X3)
   U292#(active(X1),X2,X3) -> U292#(X1,X2,X3)
   U292#(X1,active(X2),X3) -> U292#(X1,X2,X3)
   U292#(X1,X2,active(X3)) -> U292#(X1,X2,X3)
   U293#(mark(X1),X2,X3) -> U293#(X1,X2,X3)
   U293#(X1,mark(X2),X3) -> U293#(X1,X2,X3)
   U293#(X1,X2,mark(X3)) -> U293#(X1,X2,X3)
   U293#(active(X1),X2,X3) -> U293#(X1,X2,X3)
   U293#(X1,active(X2),X3) -> U293#(X1,X2,X3)
   U293#(X1,X2,active(X3)) -> U293#(X1,X2,X3)
   U294#(mark(X1),X2,X3) -> U294#(X1,X2,X3)
   U294#(X1,mark(X2),X3) -> U294#(X1,X2,X3)
   U294#(X1,X2,mark(X3)) -> U294#(X1,X2,X3)
   U294#(active(X1),X2,X3) -> U294#(X1,X2,X3)
   U294#(X1,active(X2),X3) -> U294#(X1,X2,X3)
   U294#(X1,X2,active(X3)) -> U294#(X1,X2,X3)
   head#(mark(X)) -> head#(X)
   head#(active(X)) -> head#(X)
   afterNth#(mark(X1),X2) -> afterNth#(X1,X2)
   afterNth#(X1,mark(X2)) -> afterNth#(X1,X2)
   afterNth#(active(X1),X2) -> afterNth#(X1,X2)
   afterNth#(X1,active(X2)) -> afterNth#(X1,X2)
   U301#(mark(X1),X2,X3) -> U301#(X1,X2,X3)
   U301#(X1,mark(X2),X3) -> U301#(X1,X2,X3)
   U301#(X1,X2,mark(X3)) -> U301#(X1,X2,X3)
   U301#(active(X1),X2,X3) -> U301#(X1,X2,X3)
   U301#(X1,active(X2),X3) -> U301#(X1,X2,X3)
   U301#(X1,X2,active(X3)) -> U301#(X1,X2,X3)
   U302#(mark(X1),X2) -> U302#(X1,X2)
   U302#(X1,mark(X2)) -> U302#(X1,X2)
   U302#(active(X1),X2) -> U302#(X1,X2)
   U302#(X1,active(X2)) -> U302#(X1,X2)
   U303#(mark(X1),X2) -> U303#(X1,X2)
   U303#(X1,mark(X2)) -> U303#(X1,X2)
   U303#(active(X1),X2) -> U303#(X1,X2)
   U303#(X1,active(X2)) -> U303#(X1,X2)
   U304#(mark(X1),X2) -> U304#(X1,X2)
   U304#(X1,mark(X2)) -> U304#(X1,X2)
   U304#(active(X1),X2) -> U304#(X1,X2)
   U304#(X1,active(X2)) -> U304#(X1,X2)
   U31#(mark(X1),X2,X3) -> U31#(X1,X2,X3)
   U31#(X1,mark(X2),X3) -> U31#(X1,X2,X3)
   U31#(X1,X2,mark(X3)) -> U31#(X1,X2,X3)
   U31#(active(X1),X2,X3) -> U31#(X1,X2,X3)
   U31#(X1,active(X2),X3) -> U31#(X1,X2,X3)
   U31#(X1,X2,active(X3)) -> U31#(X1,X2,X3)
   U32#(mark(X1),X2,X3) -> U32#(X1,X2,X3)
   U32#(X1,mark(X2),X3) -> U32#(X1,X2,X3)
   U32#(X1,X2,mark(X3)) -> U32#(X1,X2,X3)
   U32#(active(X1),X2,X3) -> U32#(X1,X2,X3)
   U32#(X1,active(X2),X3) -> U32#(X1,X2,X3)
   U32#(X1,X2,active(X3)) -> U32#(X1,X2,X3)
   U311#(mark(X1),X2) -> U311#(X1,X2)
   U311#(X1,mark(X2)) -> U311#(X1,X2)
   U311#(active(X1),X2) -> U311#(X1,X2)
   U311#(X1,active(X2)) -> U311#(X1,X2)
   U312#(mark(X1),X2) -> U312#(X1,X2)
   U312#(X1,mark(X2)) -> U312#(X1,X2)
   U312#(active(X1),X2) -> U312#(X1,X2)
   U312#(X1,active(X2)) -> U312#(X1,X2)
   pair#(mark(X1),X2) -> pair#(X1,X2)
   pair#(X1,mark(X2)) -> pair#(X1,X2)
   pair#(active(X1),X2) -> pair#(X1,X2)
   pair#(X1,active(X2)) -> pair#(X1,X2)
   U33#(mark(X1),X2,X3) -> U33#(X1,X2,X3)
   U33#(X1,mark(X2),X3) -> U33#(X1,X2,X3)
   U33#(X1,X2,mark(X3)) -> U33#(X1,X2,X3)
   U33#(active(X1),X2,X3) -> U33#(X1,X2,X3)
   U33#(X1,active(X2),X3) -> U33#(X1,X2,X3)
   U33#(X1,X2,active(X3)) -> U33#(X1,X2,X3)
   U321#(mark(X1),X2,X3,X4) -> U321#(X1,X2,X3,X4)
   U321#(X1,mark(X2),X3,X4) -> U321#(X1,X2,X3,X4)
   U321#(X1,X2,mark(X3),X4) -> U321#(X1,X2,X3,X4)
   U321#(X1,X2,X3,mark(X4)) -> U321#(X1,X2,X3,X4)
   U321#(active(X1),X2,X3,X4) -> U321#(X1,X2,X3,X4)
   U321#(X1,active(X2),X3,X4) -> U321#(X1,X2,X3,X4)
   U321#(X1,X2,active(X3),X4) -> U321#(X1,X2,X3,X4)
   U321#(X1,X2,X3,active(X4)) -> U321#(X1,X2,X3,X4)
   U322#(mark(X1),X2,X3,X4) -> U322#(X1,X2,X3,X4)
   U322#(X1,mark(X2),X3,X4) -> U322#(X1,X2,X3,X4)
   U322#(X1,X2,mark(X3),X4) -> U322#(X1,X2,X3,X4)
   U322#(X1,X2,X3,mark(X4)) -> U322#(X1,X2,X3,X4)
   U322#(active(X1),X2,X3,X4) -> U322#(X1,X2,X3,X4)
   U322#(X1,active(X2),X3,X4) -> U322#(X1,X2,X3,X4)
   U322#(X1,X2,active(X3),X4) -> U322#(X1,X2,X3,X4)
   U322#(X1,X2,X3,active(X4)) -> U322#(X1,X2,X3,X4)
   U323#(mark(X1),X2,X3,X4) -> U323#(X1,X2,X3,X4)
   U323#(X1,mark(X2),X3,X4) -> U323#(X1,X2,X3,X4)
   U323#(X1,X2,mark(X3),X4) -> U323#(X1,X2,X3,X4)
   U323#(X1,X2,X3,mark(X4)) -> U323#(X1,X2,X3,X4)
   U323#(active(X1),X2,X3,X4) -> U323#(X1,X2,X3,X4)
   U323#(X1,active(X2),X3,X4) -> U323#(X1,X2,X3,X4)
   U323#(X1,X2,active(X3),X4) -> U323#(X1,X2,X3,X4)
   U323#(X1,X2,X3,active(X4)) -> U323#(X1,X2,X3,X4)
   U324#(mark(X1),X2,X3,X4) -> U324#(X1,X2,X3,X4)
   U324#(X1,mark(X2),X3,X4) -> U324#(X1,X2,X3,X4)
   U324#(X1,X2,mark(X3),X4) -> U324#(X1,X2,X3,X4)
   U324#(X1,X2,X3,mark(X4)) -> U324#(X1,X2,X3,X4)
   U324#(active(X1),X2,X3,X4) -> U324#(X1,X2,X3,X4)
   U324#(X1,active(X2),X3,X4) -> U324#(X1,X2,X3,X4)
   U324#(X1,X2,active(X3),X4) -> U324#(X1,X2,X3,X4)
   U324#(X1,X2,X3,active(X4)) -> U324#(X1,X2,X3,X4)
   U325#(mark(X1),X2,X3,X4) -> U325#(X1,X2,X3,X4)
   U325#(X1,mark(X2),X3,X4) -> U325#(X1,X2,X3,X4)
   U325#(X1,X2,mark(X3),X4) -> U325#(X1,X2,X3,X4)
   U325#(X1,X2,X3,mark(X4)) -> U325#(X1,X2,X3,X4)
   U325#(active(X1),X2,X3,X4) -> U325#(X1,X2,X3,X4)
   U325#(X1,active(X2),X3,X4) -> U325#(X1,X2,X3,X4)
   U325#(X1,X2,active(X3),X4) -> U325#(X1,X2,X3,X4)
   U325#(X1,X2,X3,active(X4)) -> U325#(X1,X2,X3,X4)
   U326#(mark(X1),X2,X3,X4) -> U326#(X1,X2,X3,X4)
   U326#(X1,mark(X2),X3,X4) -> U326#(X1,X2,X3,X4)
   U326#(X1,X2,mark(X3),X4) -> U326#(X1,X2,X3,X4)
   U326#(X1,X2,X3,mark(X4)) -> U326#(X1,X2,X3,X4)
   U326#(active(X1),X2,X3,X4) -> U326#(X1,X2,X3,X4)
   U326#(X1,active(X2),X3,X4) -> U326#(X1,X2,X3,X4)
   U326#(X1,X2,active(X3),X4) -> U326#(X1,X2,X3,X4)
   U326#(X1,X2,X3,active(X4)) -> U326#(X1,X2,X3,X4)
   U327#(mark(X1),X2) -> U327#(X1,X2)
   U327#(X1,mark(X2)) -> U327#(X1,X2)
   U327#(active(X1),X2) -> U327#(X1,X2)
   U327#(X1,active(X2)) -> U327#(X1,X2)
   U34#(mark(X1),X2) -> U34#(X1,X2)
   U34#(X1,mark(X2)) -> U34#(X1,X2)
   U34#(active(X1),X2) -> U34#(X1,X2)
   U34#(X1,active(X2)) -> U34#(X1,X2)
   U331#(mark(X1),X2,X3) -> U331#(X1,X2,X3)
   U331#(X1,mark(X2),X3) -> U331#(X1,X2,X3)
   U331#(X1,X2,mark(X3)) -> U331#(X1,X2,X3)
   U331#(active(X1),X2,X3) -> U331#(X1,X2,X3)
   U331#(X1,active(X2),X3) -> U331#(X1,X2,X3)
   U331#(X1,X2,active(X3)) -> U331#(X1,X2,X3)
   U332#(mark(X1),X2) -> U332#(X1,X2)
   U332#(X1,mark(X2)) -> U332#(X1,X2)
   U332#(active(X1),X2) -> U332#(X1,X2)
   U332#(X1,active(X2)) -> U332#(X1,X2)
   U333#(mark(X1),X2) -> U333#(X1,X2)
   U333#(X1,mark(X2)) -> U333#(X1,X2)
   U333#(active(X1),X2) -> U333#(X1,X2)
   U333#(X1,active(X2)) -> U333#(X1,X2)
   U334#(mark(X1),X2) -> U334#(X1,X2)
   U334#(X1,mark(X2)) -> U334#(X1,X2)
   U334#(active(X1),X2) -> U334#(X1,X2)
   U334#(X1,active(X2)) -> U334#(X1,X2)
   U341#(mark(X1),X2,X3) -> U341#(X1,X2,X3)
   U341#(X1,mark(X2),X3) -> U341#(X1,X2,X3)
   U341#(X1,X2,mark(X3)) -> U341#(X1,X2,X3)
   U341#(active(X1),X2,X3) -> U341#(X1,X2,X3)
   U341#(X1,active(X2),X3) -> U341#(X1,X2,X3)
   U341#(X1,X2,active(X3)) -> U341#(X1,X2,X3)
   U342#(mark(X1),X2,X3) -> U342#(X1,X2,X3)
   U342#(X1,mark(X2),X3) -> U342#(X1,X2,X3)
   U342#(X1,X2,mark(X3)) -> U342#(X1,X2,X3)
   U342#(active(X1),X2,X3) -> U342#(X1,X2,X3)
   U342#(X1,active(X2),X3) -> U342#(X1,X2,X3)
   U342#(X1,X2,active(X3)) -> U342#(X1,X2,X3)
   U343#(mark(X1),X2,X3) -> U343#(X1,X2,X3)
   U343#(X1,mark(X2),X3) -> U343#(X1,X2,X3)
   U343#(X1,X2,mark(X3)) -> U343#(X1,X2,X3)
   U343#(active(X1),X2,X3) -> U343#(X1,X2,X3)
   U343#(X1,active(X2),X3) -> U343#(X1,X2,X3)
   U343#(X1,X2,active(X3)) -> U343#(X1,X2,X3)
   U344#(mark(X1),X2,X3) -> U344#(X1,X2,X3)
   U344#(X1,mark(X2),X3) -> U344#(X1,X2,X3)
   U344#(X1,X2,mark(X3)) -> U344#(X1,X2,X3)
   U344#(active(X1),X2,X3) -> U344#(X1,X2,X3)
   U344#(X1,active(X2),X3) -> U344#(X1,X2,X3)
   U344#(X1,X2,active(X3)) -> U344#(X1,X2,X3)
   fst#(mark(X)) -> fst#(X)
   fst#(active(X)) -> fst#(X)
   U41#(mark(X1),X2,X3) -> U41#(X1,X2,X3)
   U41#(X1,mark(X2),X3) -> U41#(X1,X2,X3)
   U41#(X1,X2,mark(X3)) -> U41#(X1,X2,X3)
   U41#(active(X1),X2,X3) -> U41#(X1,X2,X3)
   U41#(X1,active(X2),X3) -> U41#(X1,X2,X3)
   U41#(X1,X2,active(X3)) -> U41#(X1,X2,X3)
   U42#(mark(X1),X2,X3) -> U42#(X1,X2,X3)
   U42#(X1,mark(X2),X3) -> U42#(X1,X2,X3)
   U42#(X1,X2,mark(X3)) -> U42#(X1,X2,X3)
   U42#(active(X1),X2,X3) -> U42#(X1,X2,X3)
   U42#(X1,active(X2),X3) -> U42#(X1,X2,X3)
   U42#(X1,X2,active(X3)) -> U42#(X1,X2,X3)
   U43#(mark(X1),X2,X3) -> U43#(X1,X2,X3)
   U43#(X1,mark(X2),X3) -> U43#(X1,X2,X3)
   U43#(X1,X2,mark(X3)) -> U43#(X1,X2,X3)
   U43#(active(X1),X2,X3) -> U43#(X1,X2,X3)
   U43#(X1,active(X2),X3) -> U43#(X1,X2,X3)
   U43#(X1,X2,active(X3)) -> U43#(X1,X2,X3)
   U44#(mark(X1),X2,X3) -> U44#(X1,X2,X3)
   U44#(X1,mark(X2),X3) -> U44#(X1,X2,X3)
   U44#(X1,X2,mark(X3)) -> U44#(X1,X2,X3)
   U44#(active(X1),X2,X3) -> U44#(X1,X2,X3)
   U44#(X1,active(X2),X3) -> U44#(X1,X2,X3)
   U44#(X1,X2,active(X3)) -> U44#(X1,X2,X3)
   U45#(mark(X1),X2) -> U45#(X1,X2)
   U45#(X1,mark(X2)) -> U45#(X1,X2)
   U45#(active(X1),X2) -> U45#(X1,X2)
   U45#(X1,active(X2)) -> U45#(X1,X2)
   U46#(mark(X)) -> U46#(X)
   U46#(active(X)) -> U46#(X)
   U51#(mark(X1),X2,X3) -> U51#(X1,X2,X3)
   U51#(X1,mark(X2),X3) -> U51#(X1,X2,X3)
   U51#(X1,X2,mark(X3)) -> U51#(X1,X2,X3)
   U51#(active(X1),X2,X3) -> U51#(X1,X2,X3)
   U51#(X1,active(X2),X3) -> U51#(X1,X2,X3)
   U51#(X1,X2,active(X3)) -> U51#(X1,X2,X3)
   U52#(mark(X1),X2,X3) -> U52#(X1,X2,X3)
   U52#(X1,mark(X2),X3) -> U52#(X1,X2,X3)
   U52#(X1,X2,mark(X3)) -> U52#(X1,X2,X3)
   U52#(active(X1),X2,X3) -> U52#(X1,X2,X3)
   U52#(X1,active(X2),X3) -> U52#(X1,X2,X3)
   U52#(X1,X2,active(X3)) -> U52#(X1,X2,X3)
   U53#(mark(X1),X2,X3) -> U53#(X1,X2,X3)
   U53#(X1,mark(X2),X3) -> U53#(X1,X2,X3)
   U53#(X1,X2,mark(X3)) -> U53#(X1,X2,X3)
   U53#(active(X1),X2,X3) -> U53#(X1,X2,X3)
   U53#(X1,active(X2),X3) -> U53#(X1,X2,X3)
   U53#(X1,X2,active(X3)) -> U53#(X1,X2,X3)
   U54#(mark(X1),X2,X3) -> U54#(X1,X2,X3)
   U54#(X1,mark(X2),X3) -> U54#(X1,X2,X3)
   U54#(X1,X2,mark(X3)) -> U54#(X1,X2,X3)
   U54#(active(X1),X2,X3) -> U54#(X1,X2,X3)
   U54#(X1,active(X2),X3) -> U54#(X1,X2,X3)
   U54#(X1,X2,active(X3)) -> U54#(X1,X2,X3)
   U55#(mark(X1),X2) -> U55#(X1,X2)
   U55#(X1,mark(X2)) -> U55#(X1,X2)
   U55#(active(X1),X2) -> U55#(X1,X2)
   U55#(X1,active(X2)) -> U55#(X1,X2)
   U56#(mark(X)) -> U56#(X)
   U56#(active(X)) -> U56#(X)
   U61#(mark(X1),X2) -> U61#(X1,X2)
   U61#(X1,mark(X2)) -> U61#(X1,X2)
   U61#(active(X1),X2) -> U61#(X1,X2)
   U61#(X1,active(X2)) -> U61#(X1,X2)
   U62#(mark(X1),X2) -> U62#(X1,X2)
   U62#(X1,mark(X2)) -> U62#(X1,X2)
   U62#(active(X1),X2) -> U62#(X1,X2)
   U62#(X1,active(X2)) -> U62#(X1,X2)
   isPLNatKind#(mark(X)) -> isPLNatKind#(X)
   isPLNatKind#(active(X)) -> isPLNatKind#(X)
   U63#(mark(X)) -> U63#(X)
   U63#(active(X)) -> U63#(X)
   isPLNat#(mark(X)) -> isPLNat#(X)
   isPLNat#(active(X)) -> isPLNat#(X)
   U71#(mark(X1),X2) -> U71#(X1,X2)
   U71#(X1,mark(X2)) -> U71#(X1,X2)
   U71#(active(X1),X2) -> U71#(X1,X2)
   U71#(X1,active(X2)) -> U71#(X1,X2)
   U72#(mark(X1),X2) -> U72#(X1,X2)
   U72#(X1,mark(X2)) -> U72#(X1,X2)
   U72#(active(X1),X2) -> U72#(X1,X2)
   U72#(X1,active(X2)) -> U72#(X1,X2)
   U73#(mark(X)) -> U73#(X)
   U73#(active(X)) -> U73#(X)
   U81#(mark(X1),X2) -> U81#(X1,X2)
   U81#(X1,mark(X2)) -> U81#(X1,X2)
   U81#(active(X1),X2) -> U81#(X1,X2)
   U81#(X1,active(X2)) -> U81#(X1,X2)
   U82#(mark(X1),X2) -> U82#(X1,X2)
   U82#(X1,mark(X2)) -> U82#(X1,X2)
   U82#(active(X1),X2) -> U82#(X1,X2)
   U82#(X1,active(X2)) -> U82#(X1,X2)
   U83#(mark(X)) -> U83#(X)
   U83#(active(X)) -> U83#(X)
   U91#(mark(X1),X2) -> U91#(X1,X2)
   U91#(X1,mark(X2)) -> U91#(X1,X2)
   U91#(active(X1),X2) -> U91#(X1,X2)
   U91#(X1,active(X2)) -> U91#(X1,X2)
   U92#(mark(X1),X2) -> U92#(X1,X2)
   U92#(X1,mark(X2)) -> U92#(X1,X2)
   U92#(active(X1),X2) -> U92#(X1,X2)
   U92#(X1,active(X2)) -> U92#(X1,X2)
   U93#(mark(X)) -> U93#(X)
   U93#(active(X)) -> U93#(X)
   tail#(mark(X)) -> tail#(X)
   tail#(active(X)) -> tail#(X)
   take#(mark(X1),X2) -> take#(X1,X2)
   take#(X1,mark(X2)) -> take#(X1,X2)
   take#(active(X1),X2) -> take#(X1,X2)
   take#(X1,active(X2)) -> take#(X1,X2)
   sel#(mark(X1),X2) -> sel#(X1,X2)
   sel#(X1,mark(X2)) -> sel#(X1,X2)
   sel#(active(X1),X2) -> sel#(X1,X2)
   sel#(X1,active(X2)) -> sel#(X1,X2)
  TRS:
   active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
   active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
   active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
   active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
   active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
   active(U106(tt())) -> mark(tt())
   active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
   active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
   active(U112(tt())) -> mark(tt())
   active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
   active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
   active(U122(tt())) -> mark(tt())
   active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
   active(U131(tt())) -> mark(tt())
   active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
   active(U141(tt())) -> mark(tt())
   active(U151(tt())) -> mark(tt())
   active(U161(tt())) -> mark(tt())
   active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
   active(U172(tt())) -> mark(tt())
   active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
   active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
   active(U183(tt())) -> mark(tt())
   active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
   active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
   active(U193(tt())) -> mark(tt())
   active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
   active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
   active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
   active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
   active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
   active(U206(tt())) -> mark(tt())
   active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
   active(U211(tt())) -> mark(tt())
   active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
   active(U221(tt())) -> mark(tt())
   active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
   active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
   active(U232(tt())) -> mark(tt())
   active(U24(tt(),X)) -> mark(X)
   active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
   active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
   active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
   active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
   active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
   active(U246(tt())) -> mark(tt())
   active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
   active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
   active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
   active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
   active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
   active(U256(tt())) -> mark(tt())
   active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
   active(U262(tt())) -> mark(tt())
   active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
   active(U272(tt())) -> mark(tt())
   active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
   active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
   active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
   active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
   active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
   active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
   active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
   active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
   active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
   active(U304(tt(),Y)) -> mark(Y)
   active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
   active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
   active(U312(tt(),XS)) -> mark(pair(nil(),XS))
   active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
   active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
   active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
   active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
   active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
   active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
   active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
   active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
   active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
   active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
   active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
   active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
   active(U334(tt(),XS)) -> mark(XS)
   active(U34(tt(),N)) -> mark(N)
   active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
   active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
   active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
   active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
   active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
   active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
   active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
   active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
   active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
   active(U46(tt())) -> mark(tt())
   active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
   active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
   active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
   active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
   active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
   active(U56(tt())) -> mark(tt())
   active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
   active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
   active(U63(tt())) -> mark(tt())
   active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
   active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
   active(U73(tt())) -> mark(tt())
   active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
   active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
   active(U83(tt())) -> mark(tt())
   active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
   active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
   active(U93(tt())) -> mark(tt())
   active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
   active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
   active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
   active(isLNat(nil())) -> mark(tt())
   active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
   active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
   active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
   active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
   active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
   active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
   active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
   active(isLNatKind(nil())) -> mark(tt())
   active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
   active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
   active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
   active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
   active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
   active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
   active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
   active(isNatural(0())) -> mark(tt())
   active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
   active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
   active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
   active(isNaturalKind(0())) -> mark(tt())
   active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
   active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
   active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
   active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
   active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
   active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
   active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
   active(natsFrom(N)) -> mark(U281(isNatural(N),N))
   active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
   active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
   active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
   active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
   active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
   active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
   mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
   mark(tt()) -> active(tt())
   mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
   mark(isNaturalKind(X)) -> active(isNaturalKind(X))
   mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
   mark(isLNatKind(X)) -> active(isLNatKind(X))
   mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
   mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
   mark(isNatural(X)) -> active(isNatural(X))
   mark(U106(X)) -> active(U106(mark(X)))
   mark(isLNat(X)) -> active(isLNat(X))
   mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
   mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
   mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
   mark(U112(X)) -> active(U112(mark(X)))
   mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
   mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
   mark(U122(X)) -> active(U122(mark(X)))
   mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
   mark(U131(X)) -> active(U131(mark(X)))
   mark(snd(X)) -> active(snd(mark(X)))
   mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
   mark(U141(X)) -> active(U141(mark(X)))
   mark(U151(X)) -> active(U151(mark(X)))
   mark(U161(X)) -> active(U161(mark(X)))
   mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
   mark(U172(X)) -> active(U172(mark(X)))
   mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
   mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
   mark(U183(X)) -> active(U183(mark(X)))
   mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
   mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
   mark(U193(X)) -> active(U193(mark(X)))
   mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
   mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
   mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
   mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
   mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
   mark(U206(X)) -> active(U206(mark(X)))
   mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
   mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
   mark(U211(X)) -> active(U211(mark(X)))
   mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
   mark(U221(X)) -> active(U221(mark(X)))
   mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
   mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
   mark(U232(X)) -> active(U232(mark(X)))
   mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
   mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
   mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
   mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
   mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
   mark(U246(X)) -> active(U246(mark(X)))
   mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
   mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
   mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
   mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
   mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
   mark(U256(X)) -> active(U256(mark(X)))
   mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
   mark(U262(X)) -> active(U262(mark(X)))
   mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
   mark(U272(X)) -> active(U272(mark(X)))
   mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
   mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
   mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
   mark(natsFrom(X)) -> active(natsFrom(mark(X)))
   mark(s(X)) -> active(s(mark(X)))
   mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
   mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
   mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
   mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
   mark(head(X)) -> active(head(mark(X)))
   mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
   mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
   mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
   mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
   mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
   mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
   mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
   mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
   mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
   mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
   mark(nil()) -> active(nil())
   mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
   mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
   mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
   mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
   mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
   mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
   mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
   mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
   mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
   mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
   mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
   mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
   mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
   mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
   mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
   mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
   mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
   mark(fst(X)) -> active(fst(mark(X)))
   mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
   mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
   mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
   mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
   mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
   mark(U46(X)) -> active(U46(mark(X)))
   mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
   mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
   mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
   mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
   mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
   mark(U56(X)) -> active(U56(mark(X)))
   mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
   mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
   mark(isPLNatKind(X)) -> active(isPLNatKind(X))
   mark(U63(X)) -> active(U63(mark(X)))
   mark(isPLNat(X)) -> active(isPLNat(X))
   mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
   mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
   mark(U73(X)) -> active(U73(mark(X)))
   mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
   mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
   mark(U83(X)) -> active(U83(mark(X)))
   mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
   mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
   mark(U93(X)) -> active(U93(mark(X)))
   mark(tail(X)) -> active(tail(mark(X)))
   mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
   mark(0()) -> active(0())
   mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
   U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
   U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
   U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
   U101(active(X1),X2,X3) -> U101(X1,X2,X3)
   U101(X1,active(X2),X3) -> U101(X1,X2,X3)
   U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
   U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
   U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
   U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
   U102(active(X1),X2,X3) -> U102(X1,X2,X3)
   U102(X1,active(X2),X3) -> U102(X1,X2,X3)
   U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
   isNaturalKind(mark(X)) -> isNaturalKind(X)
   isNaturalKind(active(X)) -> isNaturalKind(X)
   U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
   U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
   U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
   U103(active(X1),X2,X3) -> U103(X1,X2,X3)
   U103(X1,active(X2),X3) -> U103(X1,X2,X3)
   U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
   isLNatKind(mark(X)) -> isLNatKind(X)
   isLNatKind(active(X)) -> isLNatKind(X)
   U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
   U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
   U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
   U104(active(X1),X2,X3) -> U104(X1,X2,X3)
   U104(X1,active(X2),X3) -> U104(X1,X2,X3)
   U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
   U105(mark(X1),X2) -> U105(X1,X2)
   U105(X1,mark(X2)) -> U105(X1,X2)
   U105(active(X1),X2) -> U105(X1,X2)
   U105(X1,active(X2)) -> U105(X1,X2)
   isNatural(mark(X)) -> isNatural(X)
   isNatural(active(X)) -> isNatural(X)
   U106(mark(X)) -> U106(X)
   U106(active(X)) -> U106(X)
   isLNat(mark(X)) -> isLNat(X)
   isLNat(active(X)) -> isLNat(X)
   U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
   U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
   U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
   U11(active(X1),X2,X3) -> U11(X1,X2,X3)
   U11(X1,active(X2),X3) -> U11(X1,X2,X3)
   U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
   U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
   U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
   U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
   U12(active(X1),X2,X3) -> U12(X1,X2,X3)
   U12(X1,active(X2),X3) -> U12(X1,X2,X3)
   U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
   U111(mark(X1),X2) -> U111(X1,X2)
   U111(X1,mark(X2)) -> U111(X1,X2)
   U111(active(X1),X2) -> U111(X1,X2)
   U111(X1,active(X2)) -> U111(X1,X2)
   U112(mark(X)) -> U112(X)
   U112(active(X)) -> U112(X)
   U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
   U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
   U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
   U13(active(X1),X2,X3) -> U13(X1,X2,X3)
   U13(X1,active(X2),X3) -> U13(X1,X2,X3)
   U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
   U121(mark(X1),X2) -> U121(X1,X2)
   U121(X1,mark(X2)) -> U121(X1,X2)
   U121(active(X1),X2) -> U121(X1,X2)
   U121(X1,active(X2)) -> U121(X1,X2)
   U122(mark(X)) -> U122(X)
   U122(active(X)) -> U122(X)
   U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
   U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
   U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
   U14(active(X1),X2,X3) -> U14(X1,X2,X3)
   U14(X1,active(X2),X3) -> U14(X1,X2,X3)
   U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
   U131(mark(X)) -> U131(X)
   U131(active(X)) -> U131(X)
   snd(mark(X)) -> snd(X)
   snd(active(X)) -> snd(X)
   splitAt(mark(X1),X2) -> splitAt(X1,X2)
   splitAt(X1,mark(X2)) -> splitAt(X1,X2)
   splitAt(active(X1),X2) -> splitAt(X1,X2)
   splitAt(X1,active(X2)) -> splitAt(X1,X2)
   U141(mark(X)) -> U141(X)
   U141(active(X)) -> U141(X)
   U151(mark(X)) -> U151(X)
   U151(active(X)) -> U151(X)
   U161(mark(X)) -> U161(X)
   U161(active(X)) -> U161(X)
   U171(mark(X1),X2) -> U171(X1,X2)
   U171(X1,mark(X2)) -> U171(X1,X2)
   U171(active(X1),X2) -> U171(X1,X2)
   U171(X1,active(X2)) -> U171(X1,X2)
   U172(mark(X)) -> U172(X)
   U172(active(X)) -> U172(X)
   U181(mark(X1),X2) -> U181(X1,X2)
   U181(X1,mark(X2)) -> U181(X1,X2)
   U181(active(X1),X2) -> U181(X1,X2)
   U181(X1,active(X2)) -> U181(X1,X2)
   U182(mark(X1),X2) -> U182(X1,X2)
   U182(X1,mark(X2)) -> U182(X1,X2)
   U182(active(X1),X2) -> U182(X1,X2)
   U182(X1,active(X2)) -> U182(X1,X2)
   U183(mark(X)) -> U183(X)
   U183(active(X)) -> U183(X)
   U191(mark(X1),X2) -> U191(X1,X2)
   U191(X1,mark(X2)) -> U191(X1,X2)
   U191(active(X1),X2) -> U191(X1,X2)
   U191(X1,active(X2)) -> U191(X1,X2)
   U192(mark(X1),X2) -> U192(X1,X2)
   U192(X1,mark(X2)) -> U192(X1,X2)
   U192(active(X1),X2) -> U192(X1,X2)
   U192(X1,active(X2)) -> U192(X1,X2)
   U193(mark(X)) -> U193(X)
   U193(active(X)) -> U193(X)
   U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
   U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
   U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
   U201(active(X1),X2,X3) -> U201(X1,X2,X3)
   U201(X1,active(X2),X3) -> U201(X1,X2,X3)
   U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
   U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
   U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
   U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
   U202(active(X1),X2,X3) -> U202(X1,X2,X3)
   U202(X1,active(X2),X3) -> U202(X1,X2,X3)
   U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
   U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
   U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
   U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
   U203(active(X1),X2,X3) -> U203(X1,X2,X3)
   U203(X1,active(X2),X3) -> U203(X1,X2,X3)
   U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
   U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
   U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
   U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
   U204(active(X1),X2,X3) -> U204(X1,X2,X3)
   U204(X1,active(X2),X3) -> U204(X1,X2,X3)
   U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
   U205(mark(X1),X2) -> U205(X1,X2)
   U205(X1,mark(X2)) -> U205(X1,X2)
   U205(active(X1),X2) -> U205(X1,X2)
   U205(X1,active(X2)) -> U205(X1,X2)
   U206(mark(X)) -> U206(X)
   U206(active(X)) -> U206(X)
   U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
   U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
   U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
   U21(active(X1),X2,X3) -> U21(X1,X2,X3)
   U21(X1,active(X2),X3) -> U21(X1,X2,X3)
   U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
   U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
   U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
   U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
   U22(active(X1),X2,X3) -> U22(X1,X2,X3)
   U22(X1,active(X2),X3) -> U22(X1,X2,X3)
   U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
   U211(mark(X)) -> U211(X)
   U211(active(X)) -> U211(X)
   U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
   U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
   U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
   U23(active(X1),X2,X3) -> U23(X1,X2,X3)
   U23(X1,active(X2),X3) -> U23(X1,X2,X3)
   U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
   U221(mark(X)) -> U221(X)
   U221(active(X)) -> U221(X)
   U24(mark(X1),X2) -> U24(X1,X2)
   U24(X1,mark(X2)) -> U24(X1,X2)
   U24(active(X1),X2) -> U24(X1,X2)
   U24(X1,active(X2)) -> U24(X1,X2)
   U231(mark(X1),X2) -> U231(X1,X2)
   U231(X1,mark(X2)) -> U231(X1,X2)
   U231(active(X1),X2) -> U231(X1,X2)
   U231(X1,active(X2)) -> U231(X1,X2)
   U232(mark(X)) -> U232(X)
   U232(active(X)) -> U232(X)
   U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
   U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
   U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
   U241(active(X1),X2,X3) -> U241(X1,X2,X3)
   U241(X1,active(X2),X3) -> U241(X1,X2,X3)
   U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
   U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
   U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
   U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
   U242(active(X1),X2,X3) -> U242(X1,X2,X3)
   U242(X1,active(X2),X3) -> U242(X1,X2,X3)
   U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
   U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
   U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
   U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
   U243(active(X1),X2,X3) -> U243(X1,X2,X3)
   U243(X1,active(X2),X3) -> U243(X1,X2,X3)
   U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
   U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
   U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
   U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
   U244(active(X1),X2,X3) -> U244(X1,X2,X3)
   U244(X1,active(X2),X3) -> U244(X1,X2,X3)
   U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
   U245(mark(X1),X2) -> U245(X1,X2)
   U245(X1,mark(X2)) -> U245(X1,X2)
   U245(active(X1),X2) -> U245(X1,X2)
   U245(X1,active(X2)) -> U245(X1,X2)
   U246(mark(X)) -> U246(X)
   U246(active(X)) -> U246(X)
   U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
   U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
   U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
   U251(active(X1),X2,X3) -> U251(X1,X2,X3)
   U251(X1,active(X2),X3) -> U251(X1,X2,X3)
   U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
   U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
   U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
   U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
   U252(active(X1),X2,X3) -> U252(X1,X2,X3)
   U252(X1,active(X2),X3) -> U252(X1,X2,X3)
   U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
   U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
   U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
   U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
   U253(active(X1),X2,X3) -> U253(X1,X2,X3)
   U253(X1,active(X2),X3) -> U253(X1,X2,X3)
   U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
   U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
   U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
   U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
   U254(active(X1),X2,X3) -> U254(X1,X2,X3)
   U254(X1,active(X2),X3) -> U254(X1,X2,X3)
   U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
   U255(mark(X1),X2) -> U255(X1,X2)
   U255(X1,mark(X2)) -> U255(X1,X2)
   U255(active(X1),X2) -> U255(X1,X2)
   U255(X1,active(X2)) -> U255(X1,X2)
   U256(mark(X)) -> U256(X)
   U256(active(X)) -> U256(X)
   U261(mark(X1),X2) -> U261(X1,X2)
   U261(X1,mark(X2)) -> U261(X1,X2)
   U261(active(X1),X2) -> U261(X1,X2)
   U261(X1,active(X2)) -> U261(X1,X2)
   U262(mark(X)) -> U262(X)
   U262(active(X)) -> U262(X)
   U271(mark(X1),X2) -> U271(X1,X2)
   U271(X1,mark(X2)) -> U271(X1,X2)
   U271(active(X1),X2) -> U271(X1,X2)
   U271(X1,active(X2)) -> U271(X1,X2)
   U272(mark(X)) -> U272(X)
   U272(active(X)) -> U272(X)
   U281(mark(X1),X2) -> U281(X1,X2)
   U281(X1,mark(X2)) -> U281(X1,X2)
   U281(active(X1),X2) -> U281(X1,X2)
   U281(X1,active(X2)) -> U281(X1,X2)
   U282(mark(X1),X2) -> U282(X1,X2)
   U282(X1,mark(X2)) -> U282(X1,X2)
   U282(active(X1),X2) -> U282(X1,X2)
   U282(X1,active(X2)) -> U282(X1,X2)
   cons(mark(X1),X2) -> cons(X1,X2)
   cons(X1,mark(X2)) -> cons(X1,X2)
   cons(active(X1),X2) -> cons(X1,X2)
   cons(X1,active(X2)) -> cons(X1,X2)
   natsFrom(mark(X)) -> natsFrom(X)
   natsFrom(active(X)) -> natsFrom(X)
   s(mark(X)) -> s(X)
   s(active(X)) -> s(X)
   U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
   U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
   U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
   U291(active(X1),X2,X3) -> U291(X1,X2,X3)
   U291(X1,active(X2),X3) -> U291(X1,X2,X3)
   U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
   U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
   U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
   U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
   U292(active(X1),X2,X3) -> U292(X1,X2,X3)
   U292(X1,active(X2),X3) -> U292(X1,X2,X3)
   U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
   U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
   U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
   U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
   U293(active(X1),X2,X3) -> U293(X1,X2,X3)
   U293(X1,active(X2),X3) -> U293(X1,X2,X3)
   U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
   U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
   U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
   U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
   U294(active(X1),X2,X3) -> U294(X1,X2,X3)
   U294(X1,active(X2),X3) -> U294(X1,X2,X3)
   U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
   head(mark(X)) -> head(X)
   head(active(X)) -> head(X)
   afterNth(mark(X1),X2) -> afterNth(X1,X2)
   afterNth(X1,mark(X2)) -> afterNth(X1,X2)
   afterNth(active(X1),X2) -> afterNth(X1,X2)
   afterNth(X1,active(X2)) -> afterNth(X1,X2)
   U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
   U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
   U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
   U301(active(X1),X2,X3) -> U301(X1,X2,X3)
   U301(X1,active(X2),X3) -> U301(X1,X2,X3)
   U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
   U302(mark(X1),X2) -> U302(X1,X2)
   U302(X1,mark(X2)) -> U302(X1,X2)
   U302(active(X1),X2) -> U302(X1,X2)
   U302(X1,active(X2)) -> U302(X1,X2)
   U303(mark(X1),X2) -> U303(X1,X2)
   U303(X1,mark(X2)) -> U303(X1,X2)
   U303(active(X1),X2) -> U303(X1,X2)
   U303(X1,active(X2)) -> U303(X1,X2)
   U304(mark(X1),X2) -> U304(X1,X2)
   U304(X1,mark(X2)) -> U304(X1,X2)
   U304(active(X1),X2) -> U304(X1,X2)
   U304(X1,active(X2)) -> U304(X1,X2)
   U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
   U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
   U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
   U31(active(X1),X2,X3) -> U31(X1,X2,X3)
   U31(X1,active(X2),X3) -> U31(X1,X2,X3)
   U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
   U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
   U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
   U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
   U32(active(X1),X2,X3) -> U32(X1,X2,X3)
   U32(X1,active(X2),X3) -> U32(X1,X2,X3)
   U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
   U311(mark(X1),X2) -> U311(X1,X2)
   U311(X1,mark(X2)) -> U311(X1,X2)
   U311(active(X1),X2) -> U311(X1,X2)
   U311(X1,active(X2)) -> U311(X1,X2)
   U312(mark(X1),X2) -> U312(X1,X2)
   U312(X1,mark(X2)) -> U312(X1,X2)
   U312(active(X1),X2) -> U312(X1,X2)
   U312(X1,active(X2)) -> U312(X1,X2)
   pair(mark(X1),X2) -> pair(X1,X2)
   pair(X1,mark(X2)) -> pair(X1,X2)
   pair(active(X1),X2) -> pair(X1,X2)
   pair(X1,active(X2)) -> pair(X1,X2)
   U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
   U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
   U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
   U33(active(X1),X2,X3) -> U33(X1,X2,X3)
   U33(X1,active(X2),X3) -> U33(X1,X2,X3)
   U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
   U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
   U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
   U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
   U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
   U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
   U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
   U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
   U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
   U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
   U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
   U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
   U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
   U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
   U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
   U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
   U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
   U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
   U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
   U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
   U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
   U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
   U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
   U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
   U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
   U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
   U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
   U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
   U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
   U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
   U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
   U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
   U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
   U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
   U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
   U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
   U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
   U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
   U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
   U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
   U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
   U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
   U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
   U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
   U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
   U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
   U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
   U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
   U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
   U327(mark(X1),X2) -> U327(X1,X2)
   U327(X1,mark(X2)) -> U327(X1,X2)
   U327(active(X1),X2) -> U327(X1,X2)
   U327(X1,active(X2)) -> U327(X1,X2)
   U34(mark(X1),X2) -> U34(X1,X2)
   U34(X1,mark(X2)) -> U34(X1,X2)
   U34(active(X1),X2) -> U34(X1,X2)
   U34(X1,active(X2)) -> U34(X1,X2)
   U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
   U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
   U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
   U331(active(X1),X2,X3) -> U331(X1,X2,X3)
   U331(X1,active(X2),X3) -> U331(X1,X2,X3)
   U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
   U332(mark(X1),X2) -> U332(X1,X2)
   U332(X1,mark(X2)) -> U332(X1,X2)
   U332(active(X1),X2) -> U332(X1,X2)
   U332(X1,active(X2)) -> U332(X1,X2)
   U333(mark(X1),X2) -> U333(X1,X2)
   U333(X1,mark(X2)) -> U333(X1,X2)
   U333(active(X1),X2) -> U333(X1,X2)
   U333(X1,active(X2)) -> U333(X1,X2)
   U334(mark(X1),X2) -> U334(X1,X2)
   U334(X1,mark(X2)) -> U334(X1,X2)
   U334(active(X1),X2) -> U334(X1,X2)
   U334(X1,active(X2)) -> U334(X1,X2)
   U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
   U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
   U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
   U341(active(X1),X2,X3) -> U341(X1,X2,X3)
   U341(X1,active(X2),X3) -> U341(X1,X2,X3)
   U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
   U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
   U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
   U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
   U342(active(X1),X2,X3) -> U342(X1,X2,X3)
   U342(X1,active(X2),X3) -> U342(X1,X2,X3)
   U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
   U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
   U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
   U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
   U343(active(X1),X2,X3) -> U343(X1,X2,X3)
   U343(X1,active(X2),X3) -> U343(X1,X2,X3)
   U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
   U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
   U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
   U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
   U344(active(X1),X2,X3) -> U344(X1,X2,X3)
   U344(X1,active(X2),X3) -> U344(X1,X2,X3)
   U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
   fst(mark(X)) -> fst(X)
   fst(active(X)) -> fst(X)
   U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
   U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
   U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
   U41(active(X1),X2,X3) -> U41(X1,X2,X3)
   U41(X1,active(X2),X3) -> U41(X1,X2,X3)
   U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
   U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
   U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
   U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
   U42(active(X1),X2,X3) -> U42(X1,X2,X3)
   U42(X1,active(X2),X3) -> U42(X1,X2,X3)
   U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
   U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
   U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
   U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
   U43(active(X1),X2,X3) -> U43(X1,X2,X3)
   U43(X1,active(X2),X3) -> U43(X1,X2,X3)
   U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
   U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
   U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
   U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
   U44(active(X1),X2,X3) -> U44(X1,X2,X3)
   U44(X1,active(X2),X3) -> U44(X1,X2,X3)
   U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
   U45(mark(X1),X2) -> U45(X1,X2)
   U45(X1,mark(X2)) -> U45(X1,X2)
   U45(active(X1),X2) -> U45(X1,X2)
   U45(X1,active(X2)) -> U45(X1,X2)
   U46(mark(X)) -> U46(X)
   U46(active(X)) -> U46(X)
   U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
   U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
   U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
   U51(active(X1),X2,X3) -> U51(X1,X2,X3)
   U51(X1,active(X2),X3) -> U51(X1,X2,X3)
   U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
   U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
   U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
   U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
   U52(active(X1),X2,X3) -> U52(X1,X2,X3)
   U52(X1,active(X2),X3) -> U52(X1,X2,X3)
   U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
   U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
   U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
   U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
   U53(active(X1),X2,X3) -> U53(X1,X2,X3)
   U53(X1,active(X2),X3) -> U53(X1,X2,X3)
   U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
   U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
   U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
   U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
   U54(active(X1),X2,X3) -> U54(X1,X2,X3)
   U54(X1,active(X2),X3) -> U54(X1,X2,X3)
   U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
   U55(mark(X1),X2) -> U55(X1,X2)
   U55(X1,mark(X2)) -> U55(X1,X2)
   U55(active(X1),X2) -> U55(X1,X2)
   U55(X1,active(X2)) -> U55(X1,X2)
   U56(mark(X)) -> U56(X)
   U56(active(X)) -> U56(X)
   U61(mark(X1),X2) -> U61(X1,X2)
   U61(X1,mark(X2)) -> U61(X1,X2)
   U61(active(X1),X2) -> U61(X1,X2)
   U61(X1,active(X2)) -> U61(X1,X2)
   U62(mark(X1),X2) -> U62(X1,X2)
   U62(X1,mark(X2)) -> U62(X1,X2)
   U62(active(X1),X2) -> U62(X1,X2)
   U62(X1,active(X2)) -> U62(X1,X2)
   isPLNatKind(mark(X)) -> isPLNatKind(X)
   isPLNatKind(active(X)) -> isPLNatKind(X)
   U63(mark(X)) -> U63(X)
   U63(active(X)) -> U63(X)
   isPLNat(mark(X)) -> isPLNat(X)
   isPLNat(active(X)) -> isPLNat(X)
   U71(mark(X1),X2) -> U71(X1,X2)
   U71(X1,mark(X2)) -> U71(X1,X2)
   U71(active(X1),X2) -> U71(X1,X2)
   U71(X1,active(X2)) -> U71(X1,X2)
   U72(mark(X1),X2) -> U72(X1,X2)
   U72(X1,mark(X2)) -> U72(X1,X2)
   U72(active(X1),X2) -> U72(X1,X2)
   U72(X1,active(X2)) -> U72(X1,X2)
   U73(mark(X)) -> U73(X)
   U73(active(X)) -> U73(X)
   U81(mark(X1),X2) -> U81(X1,X2)
   U81(X1,mark(X2)) -> U81(X1,X2)
   U81(active(X1),X2) -> U81(X1,X2)
   U81(X1,active(X2)) -> U81(X1,X2)
   U82(mark(X1),X2) -> U82(X1,X2)
   U82(X1,mark(X2)) -> U82(X1,X2)
   U82(active(X1),X2) -> U82(X1,X2)
   U82(X1,active(X2)) -> U82(X1,X2)
   U83(mark(X)) -> U83(X)
   U83(active(X)) -> U83(X)
   U91(mark(X1),X2) -> U91(X1,X2)
   U91(X1,mark(X2)) -> U91(X1,X2)
   U91(active(X1),X2) -> U91(X1,X2)
   U91(X1,active(X2)) -> U91(X1,X2)
   U92(mark(X1),X2) -> U92(X1,X2)
   U92(X1,mark(X2)) -> U92(X1,X2)
   U92(active(X1),X2) -> U92(X1,X2)
   U92(X1,active(X2)) -> U92(X1,X2)
   U93(mark(X)) -> U93(X)
   U93(active(X)) -> U93(X)
   tail(mark(X)) -> tail(X)
   tail(active(X)) -> tail(X)
   take(mark(X1),X2) -> take(X1,X2)
   take(X1,mark(X2)) -> take(X1,X2)
   take(active(X1),X2) -> take(X1,X2)
   take(X1,active(X2)) -> take(X1,X2)
   sel(mark(X1),X2) -> sel(X1,X2)
   sel(X1,mark(X2)) -> sel(X1,X2)
   sel(active(X1),X2) -> sel(X1,X2)
   sel(X1,active(X2)) -> sel(X1,X2)
  TDG Processor:
   DPs:
    active#(U101(tt(),V1,V2)) -> isNaturalKind#(V1)
    active#(U101(tt(),V1,V2)) -> U102#(isNaturalKind(V1),V1,V2)
    active#(U101(tt(),V1,V2)) -> mark#(U102(isNaturalKind(V1),V1,V2))
    active#(U102(tt(),V1,V2)) -> isLNatKind#(V2)
    active#(U102(tt(),V1,V2)) -> U103#(isLNatKind(V2),V1,V2)
    active#(U102(tt(),V1,V2)) -> mark#(U103(isLNatKind(V2),V1,V2))
    active#(U103(tt(),V1,V2)) -> isLNatKind#(V2)
    active#(U103(tt(),V1,V2)) -> U104#(isLNatKind(V2),V1,V2)
    active#(U103(tt(),V1,V2)) -> mark#(U104(isLNatKind(V2),V1,V2))
    active#(U104(tt(),V1,V2)) -> isNatural#(V1)
    active#(U104(tt(),V1,V2)) -> U105#(isNatural(V1),V2)
    active#(U104(tt(),V1,V2)) -> mark#(U105(isNatural(V1),V2))
    active#(U105(tt(),V2)) -> isLNat#(V2)
    active#(U105(tt(),V2)) -> U106#(isLNat(V2))
    active#(U105(tt(),V2)) -> mark#(U106(isLNat(V2)))
    active#(U106(tt())) -> mark#(tt())
    active#(U11(tt(),N,XS)) -> isNaturalKind#(N)
    active#(U11(tt(),N,XS)) -> U12#(isNaturalKind(N),N,XS)
    active#(U11(tt(),N,XS)) -> mark#(U12(isNaturalKind(N),N,XS))
    active#(U111(tt(),V2)) -> isLNatKind#(V2)
    active#(U111(tt(),V2)) -> U112#(isLNatKind(V2))
    active#(U111(tt(),V2)) -> mark#(U112(isLNatKind(V2)))
    active#(U112(tt())) -> mark#(tt())
    active#(U12(tt(),N,XS)) -> isLNat#(XS)
    active#(U12(tt(),N,XS)) -> U13#(isLNat(XS),N,XS)
    active#(U12(tt(),N,XS)) -> mark#(U13(isLNat(XS),N,XS))
    active#(U121(tt(),V2)) -> isLNatKind#(V2)
    active#(U121(tt(),V2)) -> U122#(isLNatKind(V2))
    active#(U121(tt(),V2)) -> mark#(U122(isLNatKind(V2)))
    active#(U122(tt())) -> mark#(tt())
    active#(U13(tt(),N,XS)) -> isLNatKind#(XS)
    active#(U13(tt(),N,XS)) -> U14#(isLNatKind(XS),N,XS)
    active#(U13(tt(),N,XS)) -> mark#(U14(isLNatKind(XS),N,XS))
    active#(U131(tt())) -> mark#(tt())
    active#(U14(tt(),N,XS)) -> splitAt#(N,XS)
    active#(U14(tt(),N,XS)) -> snd#(splitAt(N,XS))
    active#(U14(tt(),N,XS)) -> mark#(snd(splitAt(N,XS)))
    active#(U141(tt())) -> mark#(tt())
    active#(U151(tt())) -> mark#(tt())
    active#(U161(tt())) -> mark#(tt())
    active#(U171(tt(),V2)) -> isLNatKind#(V2)
    active#(U171(tt(),V2)) -> U172#(isLNatKind(V2))
    active#(U171(tt(),V2)) -> mark#(U172(isLNatKind(V2)))
    active#(U172(tt())) -> mark#(tt())
    active#(U181(tt(),V1)) -> isLNatKind#(V1)
    active#(U181(tt(),V1)) -> U182#(isLNatKind(V1),V1)
    active#(U181(tt(),V1)) -> mark#(U182(isLNatKind(V1),V1))
    active#(U182(tt(),V1)) -> isLNat#(V1)
    active#(U182(tt(),V1)) -> U183#(isLNat(V1))
    active#(U182(tt(),V1)) -> mark#(U183(isLNat(V1)))
    active#(U183(tt())) -> mark#(tt())
    active#(U191(tt(),V1)) -> isNaturalKind#(V1)
    active#(U191(tt(),V1)) -> U192#(isNaturalKind(V1),V1)
    active#(U191(tt(),V1)) -> mark#(U192(isNaturalKind(V1),V1))
    active#(U192(tt(),V1)) -> isNatural#(V1)
    active#(U192(tt(),V1)) -> U193#(isNatural(V1))
    active#(U192(tt(),V1)) -> mark#(U193(isNatural(V1)))
    active#(U193(tt())) -> mark#(tt())
    active#(U201(tt(),V1,V2)) -> isNaturalKind#(V1)
    active#(U201(tt(),V1,V2)) -> U202#(isNaturalKind(V1),V1,V2)
    active#(U201(tt(),V1,V2)) -> mark#(U202(isNaturalKind(V1),V1,V2))
    active#(U202(tt(),V1,V2)) -> isLNatKind#(V2)
    active#(U202(tt(),V1,V2)) -> U203#(isLNatKind(V2),V1,V2)
    active#(U202(tt(),V1,V2)) -> mark#(U203(isLNatKind(V2),V1,V2))
    active#(U203(tt(),V1,V2)) -> isLNatKind#(V2)
    active#(U203(tt(),V1,V2)) -> U204#(isLNatKind(V2),V1,V2)
    active#(U203(tt(),V1,V2)) -> mark#(U204(isLNatKind(V2),V1,V2))
    active#(U204(tt(),V1,V2)) -> isNatural#(V1)
    active#(U204(tt(),V1,V2)) -> U205#(isNatural(V1),V2)
    active#(U204(tt(),V1,V2)) -> mark#(U205(isNatural(V1),V2))
    active#(U205(tt(),V2)) -> isLNat#(V2)
    active#(U205(tt(),V2)) -> U206#(isLNat(V2))
    active#(U205(tt(),V2)) -> mark#(U206(isLNat(V2)))
    active#(U206(tt())) -> mark#(tt())
    active#(U21(tt(),X,Y)) -> isLNatKind#(X)
    active#(U21(tt(),X,Y)) -> U22#(isLNatKind(X),X,Y)
    active#(U21(tt(),X,Y)) -> mark#(U22(isLNatKind(X),X,Y))
    active#(U211(tt())) -> mark#(tt())
    active#(U22(tt(),X,Y)) -> isLNat#(Y)
    active#(U22(tt(),X,Y)) -> U23#(isLNat(Y),X,Y)
    active#(U22(tt(),X,Y)) -> mark#(U23(isLNat(Y),X,Y))
    active#(U221(tt())) -> mark#(tt())
    active#(U23(tt(),X,Y)) -> isLNatKind#(Y)
    active#(U23(tt(),X,Y)) -> U24#(isLNatKind(Y),X)
    active#(U23(tt(),X,Y)) -> mark#(U24(isLNatKind(Y),X))
    active#(U231(tt(),V2)) -> isLNatKind#(V2)
    active#(U231(tt(),V2)) -> U232#(isLNatKind(V2))
    active#(U231(tt(),V2)) -> mark#(U232(isLNatKind(V2)))
    active#(U232(tt())) -> mark#(tt())
    active#(U24(tt(),X)) -> mark#(X)
    active#(U241(tt(),V1,V2)) -> isLNatKind#(V1)
    active#(U241(tt(),V1,V2)) -> U242#(isLNatKind(V1),V1,V2)
    active#(U241(tt(),V1,V2)) -> mark#(U242(isLNatKind(V1),V1,V2))
    active#(U242(tt(),V1,V2)) -> isLNatKind#(V2)
    active#(U242(tt(),V1,V2)) -> U243#(isLNatKind(V2),V1,V2)
    active#(U242(tt(),V1,V2)) -> mark#(U243(isLNatKind(V2),V1,V2))
    active#(U243(tt(),V1,V2)) -> isLNatKind#(V2)
    active#(U243(tt(),V1,V2)) -> U244#(isLNatKind(V2),V1,V2)
    active#(U243(tt(),V1,V2)) -> mark#(U244(isLNatKind(V2),V1,V2))
    active#(U244(tt(),V1,V2)) -> isLNat#(V1)
    active#(U244(tt(),V1,V2)) -> U245#(isLNat(V1),V2)
    active#(U244(tt(),V1,V2)) -> mark#(U245(isLNat(V1),V2))
    active#(U245(tt(),V2)) -> isLNat#(V2)
    active#(U245(tt(),V2)) -> U246#(isLNat(V2))
    active#(U245(tt(),V2)) -> mark#(U246(isLNat(V2)))
    active#(U246(tt())) -> mark#(tt())
    active#(U251(tt(),V1,V2)) -> isNaturalKind#(V1)
    active#(U251(tt(),V1,V2)) -> U252#(isNaturalKind(V1),V1,V2)
    active#(U251(tt(),V1,V2)) -> mark#(U252(isNaturalKind(V1),V1,V2))
    active#(U252(tt(),V1,V2)) -> isLNatKind#(V2)
    active#(U252(tt(),V1,V2)) -> U253#(isLNatKind(V2),V1,V2)
    active#(U252(tt(),V1,V2)) -> mark#(U253(isLNatKind(V2),V1,V2))
    active#(U253(tt(),V1,V2)) -> isLNatKind#(V2)
    active#(U253(tt(),V1,V2)) -> U254#(isLNatKind(V2),V1,V2)
    active#(U253(tt(),V1,V2)) -> mark#(U254(isLNatKind(V2),V1,V2))
    active#(U254(tt(),V1,V2)) -> isNatural#(V1)
    active#(U254(tt(),V1,V2)) -> U255#(isNatural(V1),V2)
    active#(U254(tt(),V1,V2)) -> mark#(U255(isNatural(V1),V2))
    active#(U255(tt(),V2)) -> isLNat#(V2)
    active#(U255(tt(),V2)) -> U256#(isLNat(V2))
    active#(U255(tt(),V2)) -> mark#(U256(isLNat(V2)))
    active#(U256(tt())) -> mark#(tt())
    active#(U261(tt(),V2)) -> isLNatKind#(V2)
    active#(U261(tt(),V2)) -> U262#(isLNatKind(V2))
    active#(U261(tt(),V2)) -> mark#(U262(isLNatKind(V2)))
    active#(U262(tt())) -> mark#(tt())
    active#(U271(tt(),V2)) -> isLNatKind#(V2)
    active#(U271(tt(),V2)) -> U272#(isLNatKind(V2))
    active#(U271(tt(),V2)) -> mark#(U272(isLNatKind(V2)))
    active#(U272(tt())) -> mark#(tt())
    active#(U281(tt(),N)) -> isNaturalKind#(N)
    active#(U281(tt(),N)) -> U282#(isNaturalKind(N),N)
    active#(U281(tt(),N)) -> mark#(U282(isNaturalKind(N),N))
    active#(U282(tt(),N)) -> s#(N)
    active#(U282(tt(),N)) -> natsFrom#(s(N))
    active#(U282(tt(),N)) -> cons#(N,natsFrom(s(N)))
    active#(U282(tt(),N)) -> mark#(cons(N,natsFrom(s(N))))
    active#(U291(tt(),N,XS)) -> isNaturalKind#(N)
    active#(U291(tt(),N,XS)) -> U292#(isNaturalKind(N),N,XS)
    active#(U291(tt(),N,XS)) -> mark#(U292(isNaturalKind(N),N,XS))
    active#(U292(tt(),N,XS)) -> isLNat#(XS)
    active#(U292(tt(),N,XS)) -> U293#(isLNat(XS),N,XS)
    active#(U292(tt(),N,XS)) -> mark#(U293(isLNat(XS),N,XS))
    active#(U293(tt(),N,XS)) -> isLNatKind#(XS)
    active#(U293(tt(),N,XS)) -> U294#(isLNatKind(XS),N,XS)
    active#(U293(tt(),N,XS)) -> mark#(U294(isLNatKind(XS),N,XS))
    active#(U294(tt(),N,XS)) -> afterNth#(N,XS)
    active#(U294(tt(),N,XS)) -> head#(afterNth(N,XS))
    active#(U294(tt(),N,XS)) -> mark#(head(afterNth(N,XS)))
    active#(U301(tt(),X,Y)) -> isLNatKind#(X)
    active#(U301(tt(),X,Y)) -> U302#(isLNatKind(X),Y)
    active#(U301(tt(),X,Y)) -> mark#(U302(isLNatKind(X),Y))
    active#(U302(tt(),Y)) -> isLNat#(Y)
    active#(U302(tt(),Y)) -> U303#(isLNat(Y),Y)
    active#(U302(tt(),Y)) -> mark#(U303(isLNat(Y),Y))
    active#(U303(tt(),Y)) -> isLNatKind#(Y)
    active#(U303(tt(),Y)) -> U304#(isLNatKind(Y),Y)
    active#(U303(tt(),Y)) -> mark#(U304(isLNatKind(Y),Y))
    active#(U304(tt(),Y)) -> mark#(Y)
    active#(U31(tt(),N,XS)) -> isNaturalKind#(N)
    active#(U31(tt(),N,XS)) -> U32#(isNaturalKind(N),N,XS)
    active#(U31(tt(),N,XS)) -> mark#(U32(isNaturalKind(N),N,XS))
    active#(U311(tt(),XS)) -> isLNatKind#(XS)
    active#(U311(tt(),XS)) -> U312#(isLNatKind(XS),XS)
    active#(U311(tt(),XS)) -> mark#(U312(isLNatKind(XS),XS))
    active#(U312(tt(),XS)) -> pair#(nil(),XS)
    active#(U312(tt(),XS)) -> mark#(pair(nil(),XS))
    active#(U32(tt(),N,XS)) -> isLNat#(XS)
    active#(U32(tt(),N,XS)) -> U33#(isLNat(XS),N,XS)
    active#(U32(tt(),N,XS)) -> mark#(U33(isLNat(XS),N,XS))
    active#(U321(tt(),N,X,XS)) -> isNaturalKind#(N)
    active#(U321(tt(),N,X,XS)) -> U322#(isNaturalKind(N),N,X,XS)
    active#(U321(tt(),N,X,XS)) -> mark#(U322(isNaturalKind(N),N,X,XS))
    active#(U322(tt(),N,X,XS)) -> isNatural#(X)
    active#(U322(tt(),N,X,XS)) -> U323#(isNatural(X),N,X,XS)
    active#(U322(tt(),N,X,XS)) -> mark#(U323(isNatural(X),N,X,XS))
    active#(U323(tt(),N,X,XS)) -> isNaturalKind#(X)
    active#(U323(tt(),N,X,XS)) -> U324#(isNaturalKind(X),N,X,XS)
    active#(U323(tt(),N,X,XS)) -> mark#(U324(isNaturalKind(X),N,X,XS))
    active#(U324(tt(),N,X,XS)) -> isLNat#(XS)
    active#(U324(tt(),N,X,XS)) -> U325#(isLNat(XS),N,X,XS)
    active#(U324(tt(),N,X,XS)) -> mark#(U325(isLNat(XS),N,X,XS))
    active#(U325(tt(),N,X,XS)) -> isLNatKind#(XS)
    active#(U325(tt(),N,X,XS)) -> U326#(isLNatKind(XS),N,X,XS)
    active#(U325(tt(),N,X,XS)) -> mark#(U326(isLNatKind(XS),N,X,XS))
    active#(U326(tt(),N,X,XS)) -> splitAt#(N,XS)
    active#(U326(tt(),N,X,XS)) -> U327#(splitAt(N,XS),X)
    active#(U326(tt(),N,X,XS)) -> mark#(U327(splitAt(N,XS),X))
    active#(U327(pair(YS,ZS),X)) -> cons#(X,YS)
    active#(U327(pair(YS,ZS),X)) -> pair#(cons(X,YS),ZS)
    active#(U327(pair(YS,ZS),X)) -> mark#(pair(cons(X,YS),ZS))
    active#(U33(tt(),N,XS)) -> isLNatKind#(XS)
    active#(U33(tt(),N,XS)) -> U34#(isLNatKind(XS),N)
    active#(U33(tt(),N,XS)) -> mark#(U34(isLNatKind(XS),N))
    active#(U331(tt(),N,XS)) -> isNaturalKind#(N)
    active#(U331(tt(),N,XS)) -> U332#(isNaturalKind(N),XS)
    active#(U331(tt(),N,XS)) -> mark#(U332(isNaturalKind(N),XS))
    active#(U332(tt(),XS)) -> isLNat#(XS)
    active#(U332(tt(),XS)) -> U333#(isLNat(XS),XS)
    active#(U332(tt(),XS)) -> mark#(U333(isLNat(XS),XS))
    active#(U333(tt(),XS)) -> isLNatKind#(XS)
    active#(U333(tt(),XS)) -> U334#(isLNatKind(XS),XS)
    active#(U333(tt(),XS)) -> mark#(U334(isLNatKind(XS),XS))
    active#(U334(tt(),XS)) -> mark#(XS)
    active#(U34(tt(),N)) -> mark#(N)
    active#(U341(tt(),N,XS)) -> isNaturalKind#(N)
    active#(U341(tt(),N,XS)) -> U342#(isNaturalKind(N),N,XS)
    active#(U341(tt(),N,XS)) -> mark#(U342(isNaturalKind(N),N,XS))
    active#(U342(tt(),N,XS)) -> isLNat#(XS)
    active#(U342(tt(),N,XS)) -> U343#(isLNat(XS),N,XS)
    active#(U342(tt(),N,XS)) -> mark#(U343(isLNat(XS),N,XS))
    active#(U343(tt(),N,XS)) -> isLNatKind#(XS)
    active#(U343(tt(),N,XS)) -> U344#(isLNatKind(XS),N,XS)
    active#(U343(tt(),N,XS)) -> mark#(U344(isLNatKind(XS),N,XS))
    active#(U344(tt(),N,XS)) -> splitAt#(N,XS)
    active#(U344(tt(),N,XS)) -> fst#(splitAt(N,XS))
    active#(U344(tt(),N,XS)) -> mark#(fst(splitAt(N,XS)))
    active#(U41(tt(),V1,V2)) -> isNaturalKind#(V1)
    active#(U41(tt(),V1,V2)) -> U42#(isNaturalKind(V1),V1,V2)
    active#(U41(tt(),V1,V2)) -> mark#(U42(isNaturalKind(V1),V1,V2))
    active#(U42(tt(),V1,V2)) -> isLNatKind#(V2)
    active#(U42(tt(),V1,V2)) -> U43#(isLNatKind(V2),V1,V2)
    active#(U42(tt(),V1,V2)) -> mark#(U43(isLNatKind(V2),V1,V2))
    active#(U43(tt(),V1,V2)) -> isLNatKind#(V2)
    active#(U43(tt(),V1,V2)) -> U44#(isLNatKind(V2),V1,V2)
    active#(U43(tt(),V1,V2)) -> mark#(U44(isLNatKind(V2),V1,V2))
    active#(U44(tt(),V1,V2)) -> isNatural#(V1)
    active#(U44(tt(),V1,V2)) -> U45#(isNatural(V1),V2)
    active#(U44(tt(),V1,V2)) -> mark#(U45(isNatural(V1),V2))
    active#(U45(tt(),V2)) -> isLNat#(V2)
    active#(U45(tt(),V2)) -> U46#(isLNat(V2))
    active#(U45(tt(),V2)) -> mark#(U46(isLNat(V2)))
    active#(U46(tt())) -> mark#(tt())
    active#(U51(tt(),V1,V2)) -> isNaturalKind#(V1)
    active#(U51(tt(),V1,V2)) -> U52#(isNaturalKind(V1),V1,V2)
    active#(U51(tt(),V1,V2)) -> mark#(U52(isNaturalKind(V1),V1,V2))
    active#(U52(tt(),V1,V2)) -> isLNatKind#(V2)
    active#(U52(tt(),V1,V2)) -> U53#(isLNatKind(V2),V1,V2)
    active#(U52(tt(),V1,V2)) -> mark#(U53(isLNatKind(V2),V1,V2))
    active#(U53(tt(),V1,V2)) -> isLNatKind#(V2)
    active#(U53(tt(),V1,V2)) -> U54#(isLNatKind(V2),V1,V2)
    active#(U53(tt(),V1,V2)) -> mark#(U54(isLNatKind(V2),V1,V2))
    active#(U54(tt(),V1,V2)) -> isNatural#(V1)
    active#(U54(tt(),V1,V2)) -> U55#(isNatural(V1),V2)
    active#(U54(tt(),V1,V2)) -> mark#(U55(isNatural(V1),V2))
    active#(U55(tt(),V2)) -> isLNat#(V2)
    active#(U55(tt(),V2)) -> U56#(isLNat(V2))
    active#(U55(tt(),V2)) -> mark#(U56(isLNat(V2)))
    active#(U56(tt())) -> mark#(tt())
    active#(U61(tt(),V1)) -> isPLNatKind#(V1)
    active#(U61(tt(),V1)) -> U62#(isPLNatKind(V1),V1)
    active#(U61(tt(),V1)) -> mark#(U62(isPLNatKind(V1),V1))
    active#(U62(tt(),V1)) -> isPLNat#(V1)
    active#(U62(tt(),V1)) -> U63#(isPLNat(V1))
    active#(U62(tt(),V1)) -> mark#(U63(isPLNat(V1)))
    active#(U63(tt())) -> mark#(tt())
    active#(U71(tt(),V1)) -> isNaturalKind#(V1)
    active#(U71(tt(),V1)) -> U72#(isNaturalKind(V1),V1)
    active#(U71(tt(),V1)) -> mark#(U72(isNaturalKind(V1),V1))
    active#(U72(tt(),V1)) -> isNatural#(V1)
    active#(U72(tt(),V1)) -> U73#(isNatural(V1))
    active#(U72(tt(),V1)) -> mark#(U73(isNatural(V1)))
    active#(U73(tt())) -> mark#(tt())
    active#(U81(tt(),V1)) -> isPLNatKind#(V1)
    active#(U81(tt(),V1)) -> U82#(isPLNatKind(V1),V1)
    active#(U81(tt(),V1)) -> mark#(U82(isPLNatKind(V1),V1))
    active#(U82(tt(),V1)) -> isPLNat#(V1)
    active#(U82(tt(),V1)) -> U83#(isPLNat(V1))
    active#(U82(tt(),V1)) -> mark#(U83(isPLNat(V1)))
    active#(U83(tt())) -> mark#(tt())
    active#(U91(tt(),V1)) -> isLNatKind#(V1)
    active#(U91(tt(),V1)) -> U92#(isLNatKind(V1),V1)
    active#(U91(tt(),V1)) -> mark#(U92(isLNatKind(V1),V1))
    active#(U92(tt(),V1)) -> isLNat#(V1)
    active#(U92(tt(),V1)) -> U93#(isLNat(V1))
    active#(U92(tt(),V1)) -> mark#(U93(isLNat(V1)))
    active#(U93(tt())) -> mark#(tt())
    active#(afterNth(N,XS)) -> isNatural#(N)
    active#(afterNth(N,XS)) -> U11#(isNatural(N),N,XS)
    active#(afterNth(N,XS)) -> mark#(U11(isNatural(N),N,XS))
    active#(fst(pair(X,Y))) -> isLNat#(X)
    active#(fst(pair(X,Y))) -> U21#(isLNat(X),X,Y)
    active#(fst(pair(X,Y))) -> mark#(U21(isLNat(X),X,Y))
    active#(head(cons(N,XS))) -> isNatural#(N)
    active#(head(cons(N,XS))) -> U31#(isNatural(N),N,XS)
    active#(head(cons(N,XS))) -> mark#(U31(isNatural(N),N,XS))
    active#(isLNat(nil())) -> mark#(tt())
    active#(isLNat(afterNth(V1,V2))) -> isNaturalKind#(V1)
    active#(isLNat(afterNth(V1,V2))) -> U41#(isNaturalKind(V1),V1,V2)
    active#(isLNat(afterNth(V1,V2))) -> mark#(U41(isNaturalKind(V1),V1,V2))
    active#(isLNat(cons(V1,V2))) -> isNaturalKind#(V1)
    active#(isLNat(cons(V1,V2))) -> U51#(isNaturalKind(V1),V1,V2)
    active#(isLNat(cons(V1,V2))) -> mark#(U51(isNaturalKind(V1),V1,V2))
    active#(isLNat(fst(V1))) -> isPLNatKind#(V1)
    active#(isLNat(fst(V1))) -> U61#(isPLNatKind(V1),V1)
    active#(isLNat(fst(V1))) -> mark#(U61(isPLNatKind(V1),V1))
    active#(isLNat(natsFrom(V1))) -> isNaturalKind#(V1)
    active#(isLNat(natsFrom(V1))) -> U71#(isNaturalKind(V1),V1)
    active#(isLNat(natsFrom(V1))) -> mark#(U71(isNaturalKind(V1),V1))
    active#(isLNat(snd(V1))) -> isPLNatKind#(V1)
    active#(isLNat(snd(V1))) -> U81#(isPLNatKind(V1),V1)
    active#(isLNat(snd(V1))) -> mark#(U81(isPLNatKind(V1),V1))
    active#(isLNat(tail(V1))) -> isLNatKind#(V1)
    active#(isLNat(tail(V1))) -> U91#(isLNatKind(V1),V1)
    active#(isLNat(tail(V1))) -> mark#(U91(isLNatKind(V1),V1))
    active#(isLNat(take(V1,V2))) -> isNaturalKind#(V1)
    active#(isLNat(take(V1,V2))) -> U101#(isNaturalKind(V1),V1,V2)
    active#(isLNat(take(V1,V2))) -> mark#(U101(isNaturalKind(V1),V1,V2))
    active#(isLNatKind(nil())) -> mark#(tt())
    active#(isLNatKind(afterNth(V1,V2))) -> isNaturalKind#(V1)
    active#(isLNatKind(afterNth(V1,V2))) -> U111#(isNaturalKind(V1),V2)
    active#(isLNatKind(afterNth(V1,V2))) -> mark#(U111(isNaturalKind(V1),V2))
    active#(isLNatKind(cons(V1,V2))) -> isNaturalKind#(V1)
    active#(isLNatKind(cons(V1,V2))) -> U121#(isNaturalKind(V1),V2)
    active#(isLNatKind(cons(V1,V2))) -> mark#(U121(isNaturalKind(V1),V2))
    active#(isLNatKind(fst(V1))) -> isPLNatKind#(V1)
    active#(isLNatKind(fst(V1))) -> U131#(isPLNatKind(V1))
    active#(isLNatKind(fst(V1))) -> mark#(U131(isPLNatKind(V1)))
    active#(isLNatKind(natsFrom(V1))) -> isNaturalKind#(V1)
    active#(isLNatKind(natsFrom(V1))) -> U141#(isNaturalKind(V1))
    active#(isLNatKind(natsFrom(V1))) -> mark#(U141(isNaturalKind(V1)))
    active#(isLNatKind(snd(V1))) -> isPLNatKind#(V1)
    active#(isLNatKind(snd(V1))) -> U151#(isPLNatKind(V1))
    active#(isLNatKind(snd(V1))) -> mark#(U151(isPLNatKind(V1)))
    active#(isLNatKind(tail(V1))) -> isLNatKind#(V1)
    active#(isLNatKind(tail(V1))) -> U161#(isLNatKind(V1))
    active#(isLNatKind(tail(V1))) -> mark#(U161(isLNatKind(V1)))
    active#(isLNatKind(take(V1,V2))) -> isNaturalKind#(V1)
    active#(isLNatKind(take(V1,V2))) -> U171#(isNaturalKind(V1),V2)
    active#(isLNatKind(take(V1,V2))) -> mark#(U171(isNaturalKind(V1),V2))
    active#(isNatural(0())) -> mark#(tt())
    active#(isNatural(head(V1))) -> isLNatKind#(V1)
    active#(isNatural(head(V1))) -> U181#(isLNatKind(V1),V1)
    active#(isNatural(head(V1))) -> mark#(U181(isLNatKind(V1),V1))
    active#(isNatural(s(V1))) -> isNaturalKind#(V1)
    active#(isNatural(s(V1))) -> U191#(isNaturalKind(V1),V1)
    active#(isNatural(s(V1))) -> mark#(U191(isNaturalKind(V1),V1))
    active#(isNatural(sel(V1,V2))) -> isNaturalKind#(V1)
    active#(isNatural(sel(V1,V2))) -> U201#(isNaturalKind(V1),V1,V2)
    active#(isNatural(sel(V1,V2))) -> mark#(U201(isNaturalKind(V1),V1,V2))
    active#(isNaturalKind(0())) -> mark#(tt())
    active#(isNaturalKind(head(V1))) -> isLNatKind#(V1)
    active#(isNaturalKind(head(V1))) -> U211#(isLNatKind(V1))
    active#(isNaturalKind(head(V1))) -> mark#(U211(isLNatKind(V1)))
    active#(isNaturalKind(s(V1))) -> isNaturalKind#(V1)
    active#(isNaturalKind(s(V1))) -> U221#(isNaturalKind(V1))
    active#(isNaturalKind(s(V1))) -> mark#(U221(isNaturalKind(V1)))
    active#(isNaturalKind(sel(V1,V2))) -> isNaturalKind#(V1)
    active#(isNaturalKind(sel(V1,V2))) -> U231#(isNaturalKind(V1),V2)
    active#(isNaturalKind(sel(V1,V2))) -> mark#(U231(isNaturalKind(V1),V2))
    active#(isPLNat(pair(V1,V2))) -> isLNatKind#(V1)
    active#(isPLNat(pair(V1,V2))) -> U241#(isLNatKind(V1),V1,V2)
    active#(isPLNat(pair(V1,V2))) -> mark#(U241(isLNatKind(V1),V1,V2))
    active#(isPLNat(splitAt(V1,V2))) -> isNaturalKind#(V1)
    active#(isPLNat(splitAt(V1,V2))) -> U251#(isNaturalKind(V1),V1,V2)
    active#(isPLNat(splitAt(V1,V2))) -> mark#(U251(isNaturalKind(V1),V1,V2))
    active#(isPLNatKind(pair(V1,V2))) -> isLNatKind#(V1)
    active#(isPLNatKind(pair(V1,V2))) -> U261#(isLNatKind(V1),V2)
    active#(isPLNatKind(pair(V1,V2))) -> mark#(U261(isLNatKind(V1),V2))
    active#(isPLNatKind(splitAt(V1,V2))) -> isNaturalKind#(V1)
    active#(isPLNatKind(splitAt(V1,V2))) -> U271#(isNaturalKind(V1),V2)
    active#(isPLNatKind(splitAt(V1,V2))) -> mark#(U271(isNaturalKind(V1),V2))
    active#(natsFrom(N)) -> isNatural#(N)
    active#(natsFrom(N)) -> U281#(isNatural(N),N)
    active#(natsFrom(N)) -> mark#(U281(isNatural(N),N))
    active#(sel(N,XS)) -> isNatural#(N)
    active#(sel(N,XS)) -> U291#(isNatural(N),N,XS)
    active#(sel(N,XS)) -> mark#(U291(isNatural(N),N,XS))
    active#(snd(pair(X,Y))) -> isLNat#(X)
    active#(snd(pair(X,Y))) -> U301#(isLNat(X),X,Y)
    active#(snd(pair(X,Y))) -> mark#(U301(isLNat(X),X,Y))
    active#(splitAt(0(),XS)) -> isLNat#(XS)
    active#(splitAt(0(),XS)) -> U311#(isLNat(XS),XS)
    active#(splitAt(0(),XS)) -> mark#(U311(isLNat(XS),XS))
    active#(splitAt(s(N),cons(X,XS))) -> isNatural#(N)
    active#(splitAt(s(N),cons(X,XS))) -> U321#(isNatural(N),N,X,XS)
    active#(splitAt(s(N),cons(X,XS))) -> mark#(U321(isNatural(N),N,X,XS))
    active#(tail(cons(N,XS))) -> isNatural#(N)
    active#(tail(cons(N,XS))) -> U331#(isNatural(N),N,XS)
    active#(tail(cons(N,XS))) -> mark#(U331(isNatural(N),N,XS))
    active#(take(N,XS)) -> isNatural#(N)
    active#(take(N,XS)) -> U341#(isNatural(N),N,XS)
    active#(take(N,XS)) -> mark#(U341(isNatural(N),N,XS))
    mark#(U101(X1,X2,X3)) -> mark#(X1)
    mark#(U101(X1,X2,X3)) -> U101#(mark(X1),X2,X3)
    mark#(U101(X1,X2,X3)) -> active#(U101(mark(X1),X2,X3))
    mark#(tt()) -> active#(tt())
    mark#(U102(X1,X2,X3)) -> mark#(X1)
    mark#(U102(X1,X2,X3)) -> U102#(mark(X1),X2,X3)
    mark#(U102(X1,X2,X3)) -> active#(U102(mark(X1),X2,X3))
    mark#(isNaturalKind(X)) -> active#(isNaturalKind(X))
    mark#(U103(X1,X2,X3)) -> mark#(X1)
    mark#(U103(X1,X2,X3)) -> U103#(mark(X1),X2,X3)
    mark#(U103(X1,X2,X3)) -> active#(U103(mark(X1),X2,X3))
    mark#(isLNatKind(X)) -> active#(isLNatKind(X))
    mark#(U104(X1,X2,X3)) -> mark#(X1)
    mark#(U104(X1,X2,X3)) -> U104#(mark(X1),X2,X3)
    mark#(U104(X1,X2,X3)) -> active#(U104(mark(X1),X2,X3))
    mark#(U105(X1,X2)) -> mark#(X1)
    mark#(U105(X1,X2)) -> U105#(mark(X1),X2)
    mark#(U105(X1,X2)) -> active#(U105(mark(X1),X2))
    mark#(isNatural(X)) -> active#(isNatural(X))
    mark#(U106(X)) -> mark#(X)
    mark#(U106(X)) -> U106#(mark(X))
    mark#(U106(X)) -> active#(U106(mark(X)))
    mark#(isLNat(X)) -> active#(isLNat(X))
    mark#(U11(X1,X2,X3)) -> mark#(X1)
    mark#(U11(X1,X2,X3)) -> U11#(mark(X1),X2,X3)
    mark#(U11(X1,X2,X3)) -> active#(U11(mark(X1),X2,X3))
    mark#(U12(X1,X2,X3)) -> mark#(X1)
    mark#(U12(X1,X2,X3)) -> U12#(mark(X1),X2,X3)
    mark#(U12(X1,X2,X3)) -> active#(U12(mark(X1),X2,X3))
    mark#(U111(X1,X2)) -> mark#(X1)
    mark#(U111(X1,X2)) -> U111#(mark(X1),X2)
    mark#(U111(X1,X2)) -> active#(U111(mark(X1),X2))
    mark#(U112(X)) -> mark#(X)
    mark#(U112(X)) -> U112#(mark(X))
    mark#(U112(X)) -> active#(U112(mark(X)))
    mark#(U13(X1,X2,X3)) -> mark#(X1)
    mark#(U13(X1,X2,X3)) -> U13#(mark(X1),X2,X3)
    mark#(U13(X1,X2,X3)) -> active#(U13(mark(X1),X2,X3))
    mark#(U121(X1,X2)) -> mark#(X1)
    mark#(U121(X1,X2)) -> U121#(mark(X1),X2)
    mark#(U121(X1,X2)) -> active#(U121(mark(X1),X2))
    mark#(U122(X)) -> mark#(X)
    mark#(U122(X)) -> U122#(mark(X))
    mark#(U122(X)) -> active#(U122(mark(X)))
    mark#(U14(X1,X2,X3)) -> mark#(X1)
    mark#(U14(X1,X2,X3)) -> U14#(mark(X1),X2,X3)
    mark#(U14(X1,X2,X3)) -> active#(U14(mark(X1),X2,X3))
    mark#(U131(X)) -> mark#(X)
    mark#(U131(X)) -> U131#(mark(X))
    mark#(U131(X)) -> active#(U131(mark(X)))
    mark#(snd(X)) -> mark#(X)
    mark#(snd(X)) -> snd#(mark(X))
    mark#(snd(X)) -> active#(snd(mark(X)))
    mark#(splitAt(X1,X2)) -> mark#(X2)
    mark#(splitAt(X1,X2)) -> mark#(X1)
    mark#(splitAt(X1,X2)) -> splitAt#(mark(X1),mark(X2))
    mark#(splitAt(X1,X2)) -> active#(splitAt(mark(X1),mark(X2)))
    mark#(U141(X)) -> mark#(X)
    mark#(U141(X)) -> U141#(mark(X))
    mark#(U141(X)) -> active#(U141(mark(X)))
    mark#(U151(X)) -> mark#(X)
    mark#(U151(X)) -> U151#(mark(X))
    mark#(U151(X)) -> active#(U151(mark(X)))
    mark#(U161(X)) -> mark#(X)
    mark#(U161(X)) -> U161#(mark(X))
    mark#(U161(X)) -> active#(U161(mark(X)))
    mark#(U171(X1,X2)) -> mark#(X1)
    mark#(U171(X1,X2)) -> U171#(mark(X1),X2)
    mark#(U171(X1,X2)) -> active#(U171(mark(X1),X2))
    mark#(U172(X)) -> mark#(X)
    mark#(U172(X)) -> U172#(mark(X))
    mark#(U172(X)) -> active#(U172(mark(X)))
    mark#(U181(X1,X2)) -> mark#(X1)
    mark#(U181(X1,X2)) -> U181#(mark(X1),X2)
    mark#(U181(X1,X2)) -> active#(U181(mark(X1),X2))
    mark#(U182(X1,X2)) -> mark#(X1)
    mark#(U182(X1,X2)) -> U182#(mark(X1),X2)
    mark#(U182(X1,X2)) -> active#(U182(mark(X1),X2))
    mark#(U183(X)) -> mark#(X)
    mark#(U183(X)) -> U183#(mark(X))
    mark#(U183(X)) -> active#(U183(mark(X)))
    mark#(U191(X1,X2)) -> mark#(X1)
    mark#(U191(X1,X2)) -> U191#(mark(X1),X2)
    mark#(U191(X1,X2)) -> active#(U191(mark(X1),X2))
    mark#(U192(X1,X2)) -> mark#(X1)
    mark#(U192(X1,X2)) -> U192#(mark(X1),X2)
    mark#(U192(X1,X2)) -> active#(U192(mark(X1),X2))
    mark#(U193(X)) -> mark#(X)
    mark#(U193(X)) -> U193#(mark(X))
    mark#(U193(X)) -> active#(U193(mark(X)))
    mark#(U201(X1,X2,X3)) -> mark#(X1)
    mark#(U201(X1,X2,X3)) -> U201#(mark(X1),X2,X3)
    mark#(U201(X1,X2,X3)) -> active#(U201(mark(X1),X2,X3))
    mark#(U202(X1,X2,X3)) -> mark#(X1)
    mark#(U202(X1,X2,X3)) -> U202#(mark(X1),X2,X3)
    mark#(U202(X1,X2,X3)) -> active#(U202(mark(X1),X2,X3))
    mark#(U203(X1,X2,X3)) -> mark#(X1)
    mark#(U203(X1,X2,X3)) -> U203#(mark(X1),X2,X3)
    mark#(U203(X1,X2,X3)) -> active#(U203(mark(X1),X2,X3))
    mark#(U204(X1,X2,X3)) -> mark#(X1)
    mark#(U204(X1,X2,X3)) -> U204#(mark(X1),X2,X3)
    mark#(U204(X1,X2,X3)) -> active#(U204(mark(X1),X2,X3))
    mark#(U205(X1,X2)) -> mark#(X1)
    mark#(U205(X1,X2)) -> U205#(mark(X1),X2)
    mark#(U205(X1,X2)) -> active#(U205(mark(X1),X2))
    mark#(U206(X)) -> mark#(X)
    mark#(U206(X)) -> U206#(mark(X))
    mark#(U206(X)) -> active#(U206(mark(X)))
    mark#(U21(X1,X2,X3)) -> mark#(X1)
    mark#(U21(X1,X2,X3)) -> U21#(mark(X1),X2,X3)
    mark#(U21(X1,X2,X3)) -> active#(U21(mark(X1),X2,X3))
    mark#(U22(X1,X2,X3)) -> mark#(X1)
    mark#(U22(X1,X2,X3)) -> U22#(mark(X1),X2,X3)
    mark#(U22(X1,X2,X3)) -> active#(U22(mark(X1),X2,X3))
    mark#(U211(X)) -> mark#(X)
    mark#(U211(X)) -> U211#(mark(X))
    mark#(U211(X)) -> active#(U211(mark(X)))
    mark#(U23(X1,X2,X3)) -> mark#(X1)
    mark#(U23(X1,X2,X3)) -> U23#(mark(X1),X2,X3)
    mark#(U23(X1,X2,X3)) -> active#(U23(mark(X1),X2,X3))
    mark#(U221(X)) -> mark#(X)
    mark#(U221(X)) -> U221#(mark(X))
    mark#(U221(X)) -> active#(U221(mark(X)))
    mark#(U24(X1,X2)) -> mark#(X1)
    mark#(U24(X1,X2)) -> U24#(mark(X1),X2)
    mark#(U24(X1,X2)) -> active#(U24(mark(X1),X2))
    mark#(U231(X1,X2)) -> mark#(X1)
    mark#(U231(X1,X2)) -> U231#(mark(X1),X2)
    mark#(U231(X1,X2)) -> active#(U231(mark(X1),X2))
    mark#(U232(X)) -> mark#(X)
    mark#(U232(X)) -> U232#(mark(X))
    mark#(U232(X)) -> active#(U232(mark(X)))
    mark#(U241(X1,X2,X3)) -> mark#(X1)
    mark#(U241(X1,X2,X3)) -> U241#(mark(X1),X2,X3)
    mark#(U241(X1,X2,X3)) -> active#(U241(mark(X1),X2,X3))
    mark#(U242(X1,X2,X3)) -> mark#(X1)
    mark#(U242(X1,X2,X3)) -> U242#(mark(X1),X2,X3)
    mark#(U242(X1,X2,X3)) -> active#(U242(mark(X1),X2,X3))
    mark#(U243(X1,X2,X3)) -> mark#(X1)
    mark#(U243(X1,X2,X3)) -> U243#(mark(X1),X2,X3)
    mark#(U243(X1,X2,X3)) -> active#(U243(mark(X1),X2,X3))
    mark#(U244(X1,X2,X3)) -> mark#(X1)
    mark#(U244(X1,X2,X3)) -> U244#(mark(X1),X2,X3)
    mark#(U244(X1,X2,X3)) -> active#(U244(mark(X1),X2,X3))
    mark#(U245(X1,X2)) -> mark#(X1)
    mark#(U245(X1,X2)) -> U245#(mark(X1),X2)
    mark#(U245(X1,X2)) -> active#(U245(mark(X1),X2))
    mark#(U246(X)) -> mark#(X)
    mark#(U246(X)) -> U246#(mark(X))
    mark#(U246(X)) -> active#(U246(mark(X)))
    mark#(U251(X1,X2,X3)) -> mark#(X1)
    mark#(U251(X1,X2,X3)) -> U251#(mark(X1),X2,X3)
    mark#(U251(X1,X2,X3)) -> active#(U251(mark(X1),X2,X3))
    mark#(U252(X1,X2,X3)) -> mark#(X1)
    mark#(U252(X1,X2,X3)) -> U252#(mark(X1),X2,X3)
    mark#(U252(X1,X2,X3)) -> active#(U252(mark(X1),X2,X3))
    mark#(U253(X1,X2,X3)) -> mark#(X1)
    mark#(U253(X1,X2,X3)) -> U253#(mark(X1),X2,X3)
    mark#(U253(X1,X2,X3)) -> active#(U253(mark(X1),X2,X3))
    mark#(U254(X1,X2,X3)) -> mark#(X1)
    mark#(U254(X1,X2,X3)) -> U254#(mark(X1),X2,X3)
    mark#(U254(X1,X2,X3)) -> active#(U254(mark(X1),X2,X3))
    mark#(U255(X1,X2)) -> mark#(X1)
    mark#(U255(X1,X2)) -> U255#(mark(X1),X2)
    mark#(U255(X1,X2)) -> active#(U255(mark(X1),X2))
    mark#(U256(X)) -> mark#(X)
    mark#(U256(X)) -> U256#(mark(X))
    mark#(U256(X)) -> active#(U256(mark(X)))
    mark#(U261(X1,X2)) -> mark#(X1)
    mark#(U261(X1,X2)) -> U261#(mark(X1),X2)
    mark#(U261(X1,X2)) -> active#(U261(mark(X1),X2))
    mark#(U262(X)) -> mark#(X)
    mark#(U262(X)) -> U262#(mark(X))
    mark#(U262(X)) -> active#(U262(mark(X)))
    mark#(U271(X1,X2)) -> mark#(X1)
    mark#(U271(X1,X2)) -> U271#(mark(X1),X2)
    mark#(U271(X1,X2)) -> active#(U271(mark(X1),X2))
    mark#(U272(X)) -> mark#(X)
    mark#(U272(X)) -> U272#(mark(X))
    mark#(U272(X)) -> active#(U272(mark(X)))
    mark#(U281(X1,X2)) -> mark#(X1)
    mark#(U281(X1,X2)) -> U281#(mark(X1),X2)
    mark#(U281(X1,X2)) -> active#(U281(mark(X1),X2))
    mark#(U282(X1,X2)) -> mark#(X1)
    mark#(U282(X1,X2)) -> U282#(mark(X1),X2)
    mark#(U282(X1,X2)) -> active#(U282(mark(X1),X2))
    mark#(cons(X1,X2)) -> mark#(X1)
    mark#(cons(X1,X2)) -> cons#(mark(X1),X2)
    mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2))
    mark#(natsFrom(X)) -> mark#(X)
    mark#(natsFrom(X)) -> natsFrom#(mark(X))
    mark#(natsFrom(X)) -> active#(natsFrom(mark(X)))
    mark#(s(X)) -> mark#(X)
    mark#(s(X)) -> s#(mark(X))
    mark#(s(X)) -> active#(s(mark(X)))
    mark#(U291(X1,X2,X3)) -> mark#(X1)
    mark#(U291(X1,X2,X3)) -> U291#(mark(X1),X2,X3)
    mark#(U291(X1,X2,X3)) -> active#(U291(mark(X1),X2,X3))
    mark#(U292(X1,X2,X3)) -> mark#(X1)
    mark#(U292(X1,X2,X3)) -> U292#(mark(X1),X2,X3)
    mark#(U292(X1,X2,X3)) -> active#(U292(mark(X1),X2,X3))
    mark#(U293(X1,X2,X3)) -> mark#(X1)
    mark#(U293(X1,X2,X3)) -> U293#(mark(X1),X2,X3)
    mark#(U293(X1,X2,X3)) -> active#(U293(mark(X1),X2,X3))
    mark#(U294(X1,X2,X3)) -> mark#(X1)
    mark#(U294(X1,X2,X3)) -> U294#(mark(X1),X2,X3)
    mark#(U294(X1,X2,X3)) -> active#(U294(mark(X1),X2,X3))
    mark#(head(X)) -> mark#(X)
    mark#(head(X)) -> head#(mark(X))
    mark#(head(X)) -> active#(head(mark(X)))
    mark#(afterNth(X1,X2)) -> mark#(X2)
    mark#(afterNth(X1,X2)) -> mark#(X1)
    mark#(afterNth(X1,X2)) -> afterNth#(mark(X1),mark(X2))
    mark#(afterNth(X1,X2)) -> active#(afterNth(mark(X1),mark(X2)))
    mark#(U301(X1,X2,X3)) -> mark#(X1)
    mark#(U301(X1,X2,X3)) -> U301#(mark(X1),X2,X3)
    mark#(U301(X1,X2,X3)) -> active#(U301(mark(X1),X2,X3))
    mark#(U302(X1,X2)) -> mark#(X1)
    mark#(U302(X1,X2)) -> U302#(mark(X1),X2)
    mark#(U302(X1,X2)) -> active#(U302(mark(X1),X2))
    mark#(U303(X1,X2)) -> mark#(X1)
    mark#(U303(X1,X2)) -> U303#(mark(X1),X2)
    mark#(U303(X1,X2)) -> active#(U303(mark(X1),X2))
    mark#(U304(X1,X2)) -> mark#(X1)
    mark#(U304(X1,X2)) -> U304#(mark(X1),X2)
    mark#(U304(X1,X2)) -> active#(U304(mark(X1),X2))
    mark#(U31(X1,X2,X3)) -> mark#(X1)
    mark#(U31(X1,X2,X3)) -> U31#(mark(X1),X2,X3)
    mark#(U31(X1,X2,X3)) -> active#(U31(mark(X1),X2,X3))
    mark#(U32(X1,X2,X3)) -> mark#(X1)
    mark#(U32(X1,X2,X3)) -> U32#(mark(X1),X2,X3)
    mark#(U32(X1,X2,X3)) -> active#(U32(mark(X1),X2,X3))
    mark#(U311(X1,X2)) -> mark#(X1)
    mark#(U311(X1,X2)) -> U311#(mark(X1),X2)
    mark#(U311(X1,X2)) -> active#(U311(mark(X1),X2))
    mark#(U312(X1,X2)) -> mark#(X1)
    mark#(U312(X1,X2)) -> U312#(mark(X1),X2)
    mark#(U312(X1,X2)) -> active#(U312(mark(X1),X2))
    mark#(pair(X1,X2)) -> mark#(X2)
    mark#(pair(X1,X2)) -> mark#(X1)
    mark#(pair(X1,X2)) -> pair#(mark(X1),mark(X2))
    mark#(pair(X1,X2)) -> active#(pair(mark(X1),mark(X2)))
    mark#(nil()) -> active#(nil())
    mark#(U33(X1,X2,X3)) -> mark#(X1)
    mark#(U33(X1,X2,X3)) -> U33#(mark(X1),X2,X3)
    mark#(U33(X1,X2,X3)) -> active#(U33(mark(X1),X2,X3))
    mark#(U321(X1,X2,X3,X4)) -> mark#(X1)
    mark#(U321(X1,X2,X3,X4)) -> U321#(mark(X1),X2,X3,X4)
    mark#(U321(X1,X2,X3,X4)) -> active#(U321(mark(X1),X2,X3,X4))
    mark#(U322(X1,X2,X3,X4)) -> mark#(X1)
    mark#(U322(X1,X2,X3,X4)) -> U322#(mark(X1),X2,X3,X4)
    mark#(U322(X1,X2,X3,X4)) -> active#(U322(mark(X1),X2,X3,X4))
    mark#(U323(X1,X2,X3,X4)) -> mark#(X1)
    mark#(U323(X1,X2,X3,X4)) -> U323#(mark(X1),X2,X3,X4)
    mark#(U323(X1,X2,X3,X4)) -> active#(U323(mark(X1),X2,X3,X4))
    mark#(U324(X1,X2,X3,X4)) -> mark#(X1)
    mark#(U324(X1,X2,X3,X4)) -> U324#(mark(X1),X2,X3,X4)
    mark#(U324(X1,X2,X3,X4)) -> active#(U324(mark(X1),X2,X3,X4))
    mark#(U325(X1,X2,X3,X4)) -> mark#(X1)
    mark#(U325(X1,X2,X3,X4)) -> U325#(mark(X1),X2,X3,X4)
    mark#(U325(X1,X2,X3,X4)) -> active#(U325(mark(X1),X2,X3,X4))
    mark#(U326(X1,X2,X3,X4)) -> mark#(X1)
    mark#(U326(X1,X2,X3,X4)) -> U326#(mark(X1),X2,X3,X4)
    mark#(U326(X1,X2,X3,X4)) -> active#(U326(mark(X1),X2,X3,X4))
    mark#(U327(X1,X2)) -> mark#(X1)
    mark#(U327(X1,X2)) -> U327#(mark(X1),X2)
    mark#(U327(X1,X2)) -> active#(U327(mark(X1),X2))
    mark#(U34(X1,X2)) -> mark#(X1)
    mark#(U34(X1,X2)) -> U34#(mark(X1),X2)
    mark#(U34(X1,X2)) -> active#(U34(mark(X1),X2))
    mark#(U331(X1,X2,X3)) -> mark#(X1)
    mark#(U331(X1,X2,X3)) -> U331#(mark(X1),X2,X3)
    mark#(U331(X1,X2,X3)) -> active#(U331(mark(X1),X2,X3))
    mark#(U332(X1,X2)) -> mark#(X1)
    mark#(U332(X1,X2)) -> U332#(mark(X1),X2)
    mark#(U332(X1,X2)) -> active#(U332(mark(X1),X2))
    mark#(U333(X1,X2)) -> mark#(X1)
    mark#(U333(X1,X2)) -> U333#(mark(X1),X2)
    mark#(U333(X1,X2)) -> active#(U333(mark(X1),X2))
    mark#(U334(X1,X2)) -> mark#(X1)
    mark#(U334(X1,X2)) -> U334#(mark(X1),X2)
    mark#(U334(X1,X2)) -> active#(U334(mark(X1),X2))
    mark#(U341(X1,X2,X3)) -> mark#(X1)
    mark#(U341(X1,X2,X3)) -> U341#(mark(X1),X2,X3)
    mark#(U341(X1,X2,X3)) -> active#(U341(mark(X1),X2,X3))
    mark#(U342(X1,X2,X3)) -> mark#(X1)
    mark#(U342(X1,X2,X3)) -> U342#(mark(X1),X2,X3)
    mark#(U342(X1,X2,X3)) -> active#(U342(mark(X1),X2,X3))
    mark#(U343(X1,X2,X3)) -> mark#(X1)
    mark#(U343(X1,X2,X3)) -> U343#(mark(X1),X2,X3)
    mark#(U343(X1,X2,X3)) -> active#(U343(mark(X1),X2,X3))
    mark#(U344(X1,X2,X3)) -> mark#(X1)
    mark#(U344(X1,X2,X3)) -> U344#(mark(X1),X2,X3)
    mark#(U344(X1,X2,X3)) -> active#(U344(mark(X1),X2,X3))
    mark#(fst(X)) -> mark#(X)
    mark#(fst(X)) -> fst#(mark(X))
    mark#(fst(X)) -> active#(fst(mark(X)))
    mark#(U41(X1,X2,X3)) -> mark#(X1)
    mark#(U41(X1,X2,X3)) -> U41#(mark(X1),X2,X3)
    mark#(U41(X1,X2,X3)) -> active#(U41(mark(X1),X2,X3))
    mark#(U42(X1,X2,X3)) -> mark#(X1)
    mark#(U42(X1,X2,X3)) -> U42#(mark(X1),X2,X3)
    mark#(U42(X1,X2,X3)) -> active#(U42(mark(X1),X2,X3))
    mark#(U43(X1,X2,X3)) -> mark#(X1)
    mark#(U43(X1,X2,X3)) -> U43#(mark(X1),X2,X3)
    mark#(U43(X1,X2,X3)) -> active#(U43(mark(X1),X2,X3))
    mark#(U44(X1,X2,X3)) -> mark#(X1)
    mark#(U44(X1,X2,X3)) -> U44#(mark(X1),X2,X3)
    mark#(U44(X1,X2,X3)) -> active#(U44(mark(X1),X2,X3))
    mark#(U45(X1,X2)) -> mark#(X1)
    mark#(U45(X1,X2)) -> U45#(mark(X1),X2)
    mark#(U45(X1,X2)) -> active#(U45(mark(X1),X2))
    mark#(U46(X)) -> mark#(X)
    mark#(U46(X)) -> U46#(mark(X))
    mark#(U46(X)) -> active#(U46(mark(X)))
    mark#(U51(X1,X2,X3)) -> mark#(X1)
    mark#(U51(X1,X2,X3)) -> U51#(mark(X1),X2,X3)
    mark#(U51(X1,X2,X3)) -> active#(U51(mark(X1),X2,X3))
    mark#(U52(X1,X2,X3)) -> mark#(X1)
    mark#(U52(X1,X2,X3)) -> U52#(mark(X1),X2,X3)
    mark#(U52(X1,X2,X3)) -> active#(U52(mark(X1),X2,X3))
    mark#(U53(X1,X2,X3)) -> mark#(X1)
    mark#(U53(X1,X2,X3)) -> U53#(mark(X1),X2,X3)
    mark#(U53(X1,X2,X3)) -> active#(U53(mark(X1),X2,X3))
    mark#(U54(X1,X2,X3)) -> mark#(X1)
    mark#(U54(X1,X2,X3)) -> U54#(mark(X1),X2,X3)
    mark#(U54(X1,X2,X3)) -> active#(U54(mark(X1),X2,X3))
    mark#(U55(X1,X2)) -> mark#(X1)
    mark#(U55(X1,X2)) -> U55#(mark(X1),X2)
    mark#(U55(X1,X2)) -> active#(U55(mark(X1),X2))
    mark#(U56(X)) -> mark#(X)
    mark#(U56(X)) -> U56#(mark(X))
    mark#(U56(X)) -> active#(U56(mark(X)))
    mark#(U61(X1,X2)) -> mark#(X1)
    mark#(U61(X1,X2)) -> U61#(mark(X1),X2)
    mark#(U61(X1,X2)) -> active#(U61(mark(X1),X2))
    mark#(U62(X1,X2)) -> mark#(X1)
    mark#(U62(X1,X2)) -> U62#(mark(X1),X2)
    mark#(U62(X1,X2)) -> active#(U62(mark(X1),X2))
    mark#(isPLNatKind(X)) -> active#(isPLNatKind(X))
    mark#(U63(X)) -> mark#(X)
    mark#(U63(X)) -> U63#(mark(X))
    mark#(U63(X)) -> active#(U63(mark(X)))
    mark#(isPLNat(X)) -> active#(isPLNat(X))
    mark#(U71(X1,X2)) -> mark#(X1)
    mark#(U71(X1,X2)) -> U71#(mark(X1),X2)
    mark#(U71(X1,X2)) -> active#(U71(mark(X1),X2))
    mark#(U72(X1,X2)) -> mark#(X1)
    mark#(U72(X1,X2)) -> U72#(mark(X1),X2)
    mark#(U72(X1,X2)) -> active#(U72(mark(X1),X2))
    mark#(U73(X)) -> mark#(X)
    mark#(U73(X)) -> U73#(mark(X))
    mark#(U73(X)) -> active#(U73(mark(X)))
    mark#(U81(X1,X2)) -> mark#(X1)
    mark#(U81(X1,X2)) -> U81#(mark(X1),X2)
    mark#(U81(X1,X2)) -> active#(U81(mark(X1),X2))
    mark#(U82(X1,X2)) -> mark#(X1)
    mark#(U82(X1,X2)) -> U82#(mark(X1),X2)
    mark#(U82(X1,X2)) -> active#(U82(mark(X1),X2))
    mark#(U83(X)) -> mark#(X)
    mark#(U83(X)) -> U83#(mark(X))
    mark#(U83(X)) -> active#(U83(mark(X)))
    mark#(U91(X1,X2)) -> mark#(X1)
    mark#(U91(X1,X2)) -> U91#(mark(X1),X2)
    mark#(U91(X1,X2)) -> active#(U91(mark(X1),X2))
    mark#(U92(X1,X2)) -> mark#(X1)
    mark#(U92(X1,X2)) -> U92#(mark(X1),X2)
    mark#(U92(X1,X2)) -> active#(U92(mark(X1),X2))
    mark#(U93(X)) -> mark#(X)
    mark#(U93(X)) -> U93#(mark(X))
    mark#(U93(X)) -> active#(U93(mark(X)))
    mark#(tail(X)) -> mark#(X)
    mark#(tail(X)) -> tail#(mark(X))
    mark#(tail(X)) -> active#(tail(mark(X)))
    mark#(take(X1,X2)) -> mark#(X2)
    mark#(take(X1,X2)) -> mark#(X1)
    mark#(take(X1,X2)) -> take#(mark(X1),mark(X2))
    mark#(take(X1,X2)) -> active#(take(mark(X1),mark(X2)))
    mark#(0()) -> active#(0())
    mark#(sel(X1,X2)) -> mark#(X2)
    mark#(sel(X1,X2)) -> mark#(X1)
    mark#(sel(X1,X2)) -> sel#(mark(X1),mark(X2))
    mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2)))
    U101#(mark(X1),X2,X3) -> U101#(X1,X2,X3)
    U101#(X1,mark(X2),X3) -> U101#(X1,X2,X3)
    U101#(X1,X2,mark(X3)) -> U101#(X1,X2,X3)
    U101#(active(X1),X2,X3) -> U101#(X1,X2,X3)
    U101#(X1,active(X2),X3) -> U101#(X1,X2,X3)
    U101#(X1,X2,active(X3)) -> U101#(X1,X2,X3)
    U102#(mark(X1),X2,X3) -> U102#(X1,X2,X3)
    U102#(X1,mark(X2),X3) -> U102#(X1,X2,X3)
    U102#(X1,X2,mark(X3)) -> U102#(X1,X2,X3)
    U102#(active(X1),X2,X3) -> U102#(X1,X2,X3)
    U102#(X1,active(X2),X3) -> U102#(X1,X2,X3)
    U102#(X1,X2,active(X3)) -> U102#(X1,X2,X3)
    isNaturalKind#(mark(X)) -> isNaturalKind#(X)
    isNaturalKind#(active(X)) -> isNaturalKind#(X)
    U103#(mark(X1),X2,X3) -> U103#(X1,X2,X3)
    U103#(X1,mark(X2),X3) -> U103#(X1,X2,X3)
    U103#(X1,X2,mark(X3)) -> U103#(X1,X2,X3)
    U103#(active(X1),X2,X3) -> U103#(X1,X2,X3)
    U103#(X1,active(X2),X3) -> U103#(X1,X2,X3)
    U103#(X1,X2,active(X3)) -> U103#(X1,X2,X3)
    isLNatKind#(mark(X)) -> isLNatKind#(X)
    isLNatKind#(active(X)) -> isLNatKind#(X)
    U104#(mark(X1),X2,X3) -> U104#(X1,X2,X3)
    U104#(X1,mark(X2),X3) -> U104#(X1,X2,X3)
    U104#(X1,X2,mark(X3)) -> U104#(X1,X2,X3)
    U104#(active(X1),X2,X3) -> U104#(X1,X2,X3)
    U104#(X1,active(X2),X3) -> U104#(X1,X2,X3)
    U104#(X1,X2,active(X3)) -> U104#(X1,X2,X3)
    U105#(mark(X1),X2) -> U105#(X1,X2)
    U105#(X1,mark(X2)) -> U105#(X1,X2)
    U105#(active(X1),X2) -> U105#(X1,X2)
    U105#(X1,active(X2)) -> U105#(X1,X2)
    isNatural#(mark(X)) -> isNatural#(X)
    isNatural#(active(X)) -> isNatural#(X)
    U106#(mark(X)) -> U106#(X)
    U106#(active(X)) -> U106#(X)
    isLNat#(mark(X)) -> isLNat#(X)
    isLNat#(active(X)) -> isLNat#(X)
    U11#(mark(X1),X2,X3) -> U11#(X1,X2,X3)
    U11#(X1,mark(X2),X3) -> U11#(X1,X2,X3)
    U11#(X1,X2,mark(X3)) -> U11#(X1,X2,X3)
    U11#(active(X1),X2,X3) -> U11#(X1,X2,X3)
    U11#(X1,active(X2),X3) -> U11#(X1,X2,X3)
    U11#(X1,X2,active(X3)) -> U11#(X1,X2,X3)
    U12#(mark(X1),X2,X3) -> U12#(X1,X2,X3)
    U12#(X1,mark(X2),X3) -> U12#(X1,X2,X3)
    U12#(X1,X2,mark(X3)) -> U12#(X1,X2,X3)
    U12#(active(X1),X2,X3) -> U12#(X1,X2,X3)
    U12#(X1,active(X2),X3) -> U12#(X1,X2,X3)
    U12#(X1,X2,active(X3)) -> U12#(X1,X2,X3)
    U111#(mark(X1),X2) -> U111#(X1,X2)
    U111#(X1,mark(X2)) -> U111#(X1,X2)
    U111#(active(X1),X2) -> U111#(X1,X2)
    U111#(X1,active(X2)) -> U111#(X1,X2)
    U112#(mark(X)) -> U112#(X)
    U112#(active(X)) -> U112#(X)
    U13#(mark(X1),X2,X3) -> U13#(X1,X2,X3)
    U13#(X1,mark(X2),X3) -> U13#(X1,X2,X3)
    U13#(X1,X2,mark(X3)) -> U13#(X1,X2,X3)
    U13#(active(X1),X2,X3) -> U13#(X1,X2,X3)
    U13#(X1,active(X2),X3) -> U13#(X1,X2,X3)
    U13#(X1,X2,active(X3)) -> U13#(X1,X2,X3)
    U121#(mark(X1),X2) -> U121#(X1,X2)
    U121#(X1,mark(X2)) -> U121#(X1,X2)
    U121#(active(X1),X2) -> U121#(X1,X2)
    U121#(X1,active(X2)) -> U121#(X1,X2)
    U122#(mark(X)) -> U122#(X)
    U122#(active(X)) -> U122#(X)
    U14#(mark(X1),X2,X3) -> U14#(X1,X2,X3)
    U14#(X1,mark(X2),X3) -> U14#(X1,X2,X3)
    U14#(X1,X2,mark(X3)) -> U14#(X1,X2,X3)
    U14#(active(X1),X2,X3) -> U14#(X1,X2,X3)
    U14#(X1,active(X2),X3) -> U14#(X1,X2,X3)
    U14#(X1,X2,active(X3)) -> U14#(X1,X2,X3)
    U131#(mark(X)) -> U131#(X)
    U131#(active(X)) -> U131#(X)
    snd#(mark(X)) -> snd#(X)
    snd#(active(X)) -> snd#(X)
    splitAt#(mark(X1),X2) -> splitAt#(X1,X2)
    splitAt#(X1,mark(X2)) -> splitAt#(X1,X2)
    splitAt#(active(X1),X2) -> splitAt#(X1,X2)
    splitAt#(X1,active(X2)) -> splitAt#(X1,X2)
    U141#(mark(X)) -> U141#(X)
    U141#(active(X)) -> U141#(X)
    U151#(mark(X)) -> U151#(X)
    U151#(active(X)) -> U151#(X)
    U161#(mark(X)) -> U161#(X)
    U161#(active(X)) -> U161#(X)
    U171#(mark(X1),X2) -> U171#(X1,X2)
    U171#(X1,mark(X2)) -> U171#(X1,X2)
    U171#(active(X1),X2) -> U171#(X1,X2)
    U171#(X1,active(X2)) -> U171#(X1,X2)
    U172#(mark(X)) -> U172#(X)
    U172#(active(X)) -> U172#(X)
    U181#(mark(X1),X2) -> U181#(X1,X2)
    U181#(X1,mark(X2)) -> U181#(X1,X2)
    U181#(active(X1),X2) -> U181#(X1,X2)
    U181#(X1,active(X2)) -> U181#(X1,X2)
    U182#(mark(X1),X2) -> U182#(X1,X2)
    U182#(X1,mark(X2)) -> U182#(X1,X2)
    U182#(active(X1),X2) -> U182#(X1,X2)
    U182#(X1,active(X2)) -> U182#(X1,X2)
    U183#(mark(X)) -> U183#(X)
    U183#(active(X)) -> U183#(X)
    U191#(mark(X1),X2) -> U191#(X1,X2)
    U191#(X1,mark(X2)) -> U191#(X1,X2)
    U191#(active(X1),X2) -> U191#(X1,X2)
    U191#(X1,active(X2)) -> U191#(X1,X2)
    U192#(mark(X1),X2) -> U192#(X1,X2)
    U192#(X1,mark(X2)) -> U192#(X1,X2)
    U192#(active(X1),X2) -> U192#(X1,X2)
    U192#(X1,active(X2)) -> U192#(X1,X2)
    U193#(mark(X)) -> U193#(X)
    U193#(active(X)) -> U193#(X)
    U201#(mark(X1),X2,X3) -> U201#(X1,X2,X3)
    U201#(X1,mark(X2),X3) -> U201#(X1,X2,X3)
    U201#(X1,X2,mark(X3)) -> U201#(X1,X2,X3)
    U201#(active(X1),X2,X3) -> U201#(X1,X2,X3)
    U201#(X1,active(X2),X3) -> U201#(X1,X2,X3)
    U201#(X1,X2,active(X3)) -> U201#(X1,X2,X3)
    U202#(mark(X1),X2,X3) -> U202#(X1,X2,X3)
    U202#(X1,mark(X2),X3) -> U202#(X1,X2,X3)
    U202#(X1,X2,mark(X3)) -> U202#(X1,X2,X3)
    U202#(active(X1),X2,X3) -> U202#(X1,X2,X3)
    U202#(X1,active(X2),X3) -> U202#(X1,X2,X3)
    U202#(X1,X2,active(X3)) -> U202#(X1,X2,X3)
    U203#(mark(X1),X2,X3) -> U203#(X1,X2,X3)
    U203#(X1,mark(X2),X3) -> U203#(X1,X2,X3)
    U203#(X1,X2,mark(X3)) -> U203#(X1,X2,X3)
    U203#(active(X1),X2,X3) -> U203#(X1,X2,X3)
    U203#(X1,active(X2),X3) -> U203#(X1,X2,X3)
    U203#(X1,X2,active(X3)) -> U203#(X1,X2,X3)
    U204#(mark(X1),X2,X3) -> U204#(X1,X2,X3)
    U204#(X1,mark(X2),X3) -> U204#(X1,X2,X3)
    U204#(X1,X2,mark(X3)) -> U204#(X1,X2,X3)
    U204#(active(X1),X2,X3) -> U204#(X1,X2,X3)
    U204#(X1,active(X2),X3) -> U204#(X1,X2,X3)
    U204#(X1,X2,active(X3)) -> U204#(X1,X2,X3)
    U205#(mark(X1),X2) -> U205#(X1,X2)
    U205#(X1,mark(X2)) -> U205#(X1,X2)
    U205#(active(X1),X2) -> U205#(X1,X2)
    U205#(X1,active(X2)) -> U205#(X1,X2)
    U206#(mark(X)) -> U206#(X)
    U206#(active(X)) -> U206#(X)
    U21#(mark(X1),X2,X3) -> U21#(X1,X2,X3)
    U21#(X1,mark(X2),X3) -> U21#(X1,X2,X3)
    U21#(X1,X2,mark(X3)) -> U21#(X1,X2,X3)
    U21#(active(X1),X2,X3) -> U21#(X1,X2,X3)
    U21#(X1,active(X2),X3) -> U21#(X1,X2,X3)
    U21#(X1,X2,active(X3)) -> U21#(X1,X2,X3)
    U22#(mark(X1),X2,X3) -> U22#(X1,X2,X3)
    U22#(X1,mark(X2),X3) -> U22#(X1,X2,X3)
    U22#(X1,X2,mark(X3)) -> U22#(X1,X2,X3)
    U22#(active(X1),X2,X3) -> U22#(X1,X2,X3)
    U22#(X1,active(X2),X3) -> U22#(X1,X2,X3)
    U22#(X1,X2,active(X3)) -> U22#(X1,X2,X3)
    U211#(mark(X)) -> U211#(X)
    U211#(active(X)) -> U211#(X)
    U23#(mark(X1),X2,X3) -> U23#(X1,X2,X3)
    U23#(X1,mark(X2),X3) -> U23#(X1,X2,X3)
    U23#(X1,X2,mark(X3)) -> U23#(X1,X2,X3)
    U23#(active(X1),X2,X3) -> U23#(X1,X2,X3)
    U23#(X1,active(X2),X3) -> U23#(X1,X2,X3)
    U23#(X1,X2,active(X3)) -> U23#(X1,X2,X3)
    U221#(mark(X)) -> U221#(X)
    U221#(active(X)) -> U221#(X)
    U24#(mark(X1),X2) -> U24#(X1,X2)
    U24#(X1,mark(X2)) -> U24#(X1,X2)
    U24#(active(X1),X2) -> U24#(X1,X2)
    U24#(X1,active(X2)) -> U24#(X1,X2)
    U231#(mark(X1),X2) -> U231#(X1,X2)
    U231#(X1,mark(X2)) -> U231#(X1,X2)
    U231#(active(X1),X2) -> U231#(X1,X2)
    U231#(X1,active(X2)) -> U231#(X1,X2)
    U232#(mark(X)) -> U232#(X)
    U232#(active(X)) -> U232#(X)
    U241#(mark(X1),X2,X3) -> U241#(X1,X2,X3)
    U241#(X1,mark(X2),X3) -> U241#(X1,X2,X3)
    U241#(X1,X2,mark(X3)) -> U241#(X1,X2,X3)
    U241#(active(X1),X2,X3) -> U241#(X1,X2,X3)
    U241#(X1,active(X2),X3) -> U241#(X1,X2,X3)
    U241#(X1,X2,active(X3)) -> U241#(X1,X2,X3)
    U242#(mark(X1),X2,X3) -> U242#(X1,X2,X3)
    U242#(X1,mark(X2),X3) -> U242#(X1,X2,X3)
    U242#(X1,X2,mark(X3)) -> U242#(X1,X2,X3)
    U242#(active(X1),X2,X3) -> U242#(X1,X2,X3)
    U242#(X1,active(X2),X3) -> U242#(X1,X2,X3)
    U242#(X1,X2,active(X3)) -> U242#(X1,X2,X3)
    U243#(mark(X1),X2,X3) -> U243#(X1,X2,X3)
    U243#(X1,mark(X2),X3) -> U243#(X1,X2,X3)
    U243#(X1,X2,mark(X3)) -> U243#(X1,X2,X3)
    U243#(active(X1),X2,X3) -> U243#(X1,X2,X3)
    U243#(X1,active(X2),X3) -> U243#(X1,X2,X3)
    U243#(X1,X2,active(X3)) -> U243#(X1,X2,X3)
    U244#(mark(X1),X2,X3) -> U244#(X1,X2,X3)
    U244#(X1,mark(X2),X3) -> U244#(X1,X2,X3)
    U244#(X1,X2,mark(X3)) -> U244#(X1,X2,X3)
    U244#(active(X1),X2,X3) -> U244#(X1,X2,X3)
    U244#(X1,active(X2),X3) -> U244#(X1,X2,X3)
    U244#(X1,X2,active(X3)) -> U244#(X1,X2,X3)
    U245#(mark(X1),X2) -> U245#(X1,X2)
    U245#(X1,mark(X2)) -> U245#(X1,X2)
    U245#(active(X1),X2) -> U245#(X1,X2)
    U245#(X1,active(X2)) -> U245#(X1,X2)
    U246#(mark(X)) -> U246#(X)
    U246#(active(X)) -> U246#(X)
    U251#(mark(X1),X2,X3) -> U251#(X1,X2,X3)
    U251#(X1,mark(X2),X3) -> U251#(X1,X2,X3)
    U251#(X1,X2,mark(X3)) -> U251#(X1,X2,X3)
    U251#(active(X1),X2,X3) -> U251#(X1,X2,X3)
    U251#(X1,active(X2),X3) -> U251#(X1,X2,X3)
    U251#(X1,X2,active(X3)) -> U251#(X1,X2,X3)
    U252#(mark(X1),X2,X3) -> U252#(X1,X2,X3)
    U252#(X1,mark(X2),X3) -> U252#(X1,X2,X3)
    U252#(X1,X2,mark(X3)) -> U252#(X1,X2,X3)
    U252#(active(X1),X2,X3) -> U252#(X1,X2,X3)
    U252#(X1,active(X2),X3) -> U252#(X1,X2,X3)
    U252#(X1,X2,active(X3)) -> U252#(X1,X2,X3)
    U253#(mark(X1),X2,X3) -> U253#(X1,X2,X3)
    U253#(X1,mark(X2),X3) -> U253#(X1,X2,X3)
    U253#(X1,X2,mark(X3)) -> U253#(X1,X2,X3)
    U253#(active(X1),X2,X3) -> U253#(X1,X2,X3)
    U253#(X1,active(X2),X3) -> U253#(X1,X2,X3)
    U253#(X1,X2,active(X3)) -> U253#(X1,X2,X3)
    U254#(mark(X1),X2,X3) -> U254#(X1,X2,X3)
    U254#(X1,mark(X2),X3) -> U254#(X1,X2,X3)
    U254#(X1,X2,mark(X3)) -> U254#(X1,X2,X3)
    U254#(active(X1),X2,X3) -> U254#(X1,X2,X3)
    U254#(X1,active(X2),X3) -> U254#(X1,X2,X3)
    U254#(X1,X2,active(X3)) -> U254#(X1,X2,X3)
    U255#(mark(X1),X2) -> U255#(X1,X2)
    U255#(X1,mark(X2)) -> U255#(X1,X2)
    U255#(active(X1),X2) -> U255#(X1,X2)
    U255#(X1,active(X2)) -> U255#(X1,X2)
    U256#(mark(X)) -> U256#(X)
    U256#(active(X)) -> U256#(X)
    U261#(mark(X1),X2) -> U261#(X1,X2)
    U261#(X1,mark(X2)) -> U261#(X1,X2)
    U261#(active(X1),X2) -> U261#(X1,X2)
    U261#(X1,active(X2)) -> U261#(X1,X2)
    U262#(mark(X)) -> U262#(X)
    U262#(active(X)) -> U262#(X)
    U271#(mark(X1),X2) -> U271#(X1,X2)
    U271#(X1,mark(X2)) -> U271#(X1,X2)
    U271#(active(X1),X2) -> U271#(X1,X2)
    U271#(X1,active(X2)) -> U271#(X1,X2)
    U272#(mark(X)) -> U272#(X)
    U272#(active(X)) -> U272#(X)
    U281#(mark(X1),X2) -> U281#(X1,X2)
    U281#(X1,mark(X2)) -> U281#(X1,X2)
    U281#(active(X1),X2) -> U281#(X1,X2)
    U281#(X1,active(X2)) -> U281#(X1,X2)
    U282#(mark(X1),X2) -> U282#(X1,X2)
    U282#(X1,mark(X2)) -> U282#(X1,X2)
    U282#(active(X1),X2) -> U282#(X1,X2)
    U282#(X1,active(X2)) -> U282#(X1,X2)
    cons#(mark(X1),X2) -> cons#(X1,X2)
    cons#(X1,mark(X2)) -> cons#(X1,X2)
    cons#(active(X1),X2) -> cons#(X1,X2)
    cons#(X1,active(X2)) -> cons#(X1,X2)
    natsFrom#(mark(X)) -> natsFrom#(X)
    natsFrom#(active(X)) -> natsFrom#(X)
    s#(mark(X)) -> s#(X)
    s#(active(X)) -> s#(X)
    U291#(mark(X1),X2,X3) -> U291#(X1,X2,X3)
    U291#(X1,mark(X2),X3) -> U291#(X1,X2,X3)
    U291#(X1,X2,mark(X3)) -> U291#(X1,X2,X3)
    U291#(active(X1),X2,X3) -> U291#(X1,X2,X3)
    U291#(X1,active(X2),X3) -> U291#(X1,X2,X3)
    U291#(X1,X2,active(X3)) -> U291#(X1,X2,X3)
    U292#(mark(X1),X2,X3) -> U292#(X1,X2,X3)
    U292#(X1,mark(X2),X3) -> U292#(X1,X2,X3)
    U292#(X1,X2,mark(X3)) -> U292#(X1,X2,X3)
    U292#(active(X1),X2,X3) -> U292#(X1,X2,X3)
    U292#(X1,active(X2),X3) -> U292#(X1,X2,X3)
    U292#(X1,X2,active(X3)) -> U292#(X1,X2,X3)
    U293#(mark(X1),X2,X3) -> U293#(X1,X2,X3)
    U293#(X1,mark(X2),X3) -> U293#(X1,X2,X3)
    U293#(X1,X2,mark(X3)) -> U293#(X1,X2,X3)
    U293#(active(X1),X2,X3) -> U293#(X1,X2,X3)
    U293#(X1,active(X2),X3) -> U293#(X1,X2,X3)
    U293#(X1,X2,active(X3)) -> U293#(X1,X2,X3)
    U294#(mark(X1),X2,X3) -> U294#(X1,X2,X3)
    U294#(X1,mark(X2),X3) -> U294#(X1,X2,X3)
    U294#(X1,X2,mark(X3)) -> U294#(X1,X2,X3)
    U294#(active(X1),X2,X3) -> U294#(X1,X2,X3)
    U294#(X1,active(X2),X3) -> U294#(X1,X2,X3)
    U294#(X1,X2,active(X3)) -> U294#(X1,X2,X3)
    head#(mark(X)) -> head#(X)
    head#(active(X)) -> head#(X)
    afterNth#(mark(X1),X2) -> afterNth#(X1,X2)
    afterNth#(X1,mark(X2)) -> afterNth#(X1,X2)
    afterNth#(active(X1),X2) -> afterNth#(X1,X2)
    afterNth#(X1,active(X2)) -> afterNth#(X1,X2)
    U301#(mark(X1),X2,X3) -> U301#(X1,X2,X3)
    U301#(X1,mark(X2),X3) -> U301#(X1,X2,X3)
    U301#(X1,X2,mark(X3)) -> U301#(X1,X2,X3)
    U301#(active(X1),X2,X3) -> U301#(X1,X2,X3)
    U301#(X1,active(X2),X3) -> U301#(X1,X2,X3)
    U301#(X1,X2,active(X3)) -> U301#(X1,X2,X3)
    U302#(mark(X1),X2) -> U302#(X1,X2)
    U302#(X1,mark(X2)) -> U302#(X1,X2)
    U302#(active(X1),X2) -> U302#(X1,X2)
    U302#(X1,active(X2)) -> U302#(X1,X2)
    U303#(mark(X1),X2) -> U303#(X1,X2)
    U303#(X1,mark(X2)) -> U303#(X1,X2)
    U303#(active(X1),X2) -> U303#(X1,X2)
    U303#(X1,active(X2)) -> U303#(X1,X2)
    U304#(mark(X1),X2) -> U304#(X1,X2)
    U304#(X1,mark(X2)) -> U304#(X1,X2)
    U304#(active(X1),X2) -> U304#(X1,X2)
    U304#(X1,active(X2)) -> U304#(X1,X2)
    U31#(mark(X1),X2,X3) -> U31#(X1,X2,X3)
    U31#(X1,mark(X2),X3) -> U31#(X1,X2,X3)
    U31#(X1,X2,mark(X3)) -> U31#(X1,X2,X3)
    U31#(active(X1),X2,X3) -> U31#(X1,X2,X3)
    U31#(X1,active(X2),X3) -> U31#(X1,X2,X3)
    U31#(X1,X2,active(X3)) -> U31#(X1,X2,X3)
    U32#(mark(X1),X2,X3) -> U32#(X1,X2,X3)
    U32#(X1,mark(X2),X3) -> U32#(X1,X2,X3)
    U32#(X1,X2,mark(X3)) -> U32#(X1,X2,X3)
    U32#(active(X1),X2,X3) -> U32#(X1,X2,X3)
    U32#(X1,active(X2),X3) -> U32#(X1,X2,X3)
    U32#(X1,X2,active(X3)) -> U32#(X1,X2,X3)
    U311#(mark(X1),X2) -> U311#(X1,X2)
    U311#(X1,mark(X2)) -> U311#(X1,X2)
    U311#(active(X1),X2) -> U311#(X1,X2)
    U311#(X1,active(X2)) -> U311#(X1,X2)
    U312#(mark(X1),X2) -> U312#(X1,X2)
    U312#(X1,mark(X2)) -> U312#(X1,X2)
    U312#(active(X1),X2) -> U312#(X1,X2)
    U312#(X1,active(X2)) -> U312#(X1,X2)
    pair#(mark(X1),X2) -> pair#(X1,X2)
    pair#(X1,mark(X2)) -> pair#(X1,X2)
    pair#(active(X1),X2) -> pair#(X1,X2)
    pair#(X1,active(X2)) -> pair#(X1,X2)
    U33#(mark(X1),X2,X3) -> U33#(X1,X2,X3)
    U33#(X1,mark(X2),X3) -> U33#(X1,X2,X3)
    U33#(X1,X2,mark(X3)) -> U33#(X1,X2,X3)
    U33#(active(X1),X2,X3) -> U33#(X1,X2,X3)
    U33#(X1,active(X2),X3) -> U33#(X1,X2,X3)
    U33#(X1,X2,active(X3)) -> U33#(X1,X2,X3)
    U321#(mark(X1),X2,X3,X4) -> U321#(X1,X2,X3,X4)
    U321#(X1,mark(X2),X3,X4) -> U321#(X1,X2,X3,X4)
    U321#(X1,X2,mark(X3),X4) -> U321#(X1,X2,X3,X4)
    U321#(X1,X2,X3,mark(X4)) -> U321#(X1,X2,X3,X4)
    U321#(active(X1),X2,X3,X4) -> U321#(X1,X2,X3,X4)
    U321#(X1,active(X2),X3,X4) -> U321#(X1,X2,X3,X4)
    U321#(X1,X2,active(X3),X4) -> U321#(X1,X2,X3,X4)
    U321#(X1,X2,X3,active(X4)) -> U321#(X1,X2,X3,X4)
    U322#(mark(X1),X2,X3,X4) -> U322#(X1,X2,X3,X4)
    U322#(X1,mark(X2),X3,X4) -> U322#(X1,X2,X3,X4)
    U322#(X1,X2,mark(X3),X4) -> U322#(X1,X2,X3,X4)
    U322#(X1,X2,X3,mark(X4)) -> U322#(X1,X2,X3,X4)
    U322#(active(X1),X2,X3,X4) -> U322#(X1,X2,X3,X4)
    U322#(X1,active(X2),X3,X4) -> U322#(X1,X2,X3,X4)
    U322#(X1,X2,active(X3),X4) -> U322#(X1,X2,X3,X4)
    U322#(X1,X2,X3,active(X4)) -> U322#(X1,X2,X3,X4)
    U323#(mark(X1),X2,X3,X4) -> U323#(X1,X2,X3,X4)
    U323#(X1,mark(X2),X3,X4) -> U323#(X1,X2,X3,X4)
    U323#(X1,X2,mark(X3),X4) -> U323#(X1,X2,X3,X4)
    U323#(X1,X2,X3,mark(X4)) -> U323#(X1,X2,X3,X4)
    U323#(active(X1),X2,X3,X4) -> U323#(X1,X2,X3,X4)
    U323#(X1,active(X2),X3,X4) -> U323#(X1,X2,X3,X4)
    U323#(X1,X2,active(X3),X4) -> U323#(X1,X2,X3,X4)
    U323#(X1,X2,X3,active(X4)) -> U323#(X1,X2,X3,X4)
    U324#(mark(X1),X2,X3,X4) -> U324#(X1,X2,X3,X4)
    U324#(X1,mark(X2),X3,X4) -> U324#(X1,X2,X3,X4)
    U324#(X1,X2,mark(X3),X4) -> U324#(X1,X2,X3,X4)
    U324#(X1,X2,X3,mark(X4)) -> U324#(X1,X2,X3,X4)
    U324#(active(X1),X2,X3,X4) -> U324#(X1,X2,X3,X4)
    U324#(X1,active(X2),X3,X4) -> U324#(X1,X2,X3,X4)
    U324#(X1,X2,active(X3),X4) -> U324#(X1,X2,X3,X4)
    U324#(X1,X2,X3,active(X4)) -> U324#(X1,X2,X3,X4)
    U325#(mark(X1),X2,X3,X4) -> U325#(X1,X2,X3,X4)
    U325#(X1,mark(X2),X3,X4) -> U325#(X1,X2,X3,X4)
    U325#(X1,X2,mark(X3),X4) -> U325#(X1,X2,X3,X4)
    U325#(X1,X2,X3,mark(X4)) -> U325#(X1,X2,X3,X4)
    U325#(active(X1),X2,X3,X4) -> U325#(X1,X2,X3,X4)
    U325#(X1,active(X2),X3,X4) -> U325#(X1,X2,X3,X4)
    U325#(X1,X2,active(X3),X4) -> U325#(X1,X2,X3,X4)
    U325#(X1,X2,X3,active(X4)) -> U325#(X1,X2,X3,X4)
    U326#(mark(X1),X2,X3,X4) -> U326#(X1,X2,X3,X4)
    U326#(X1,mark(X2),X3,X4) -> U326#(X1,X2,X3,X4)
    U326#(X1,X2,mark(X3),X4) -> U326#(X1,X2,X3,X4)
    U326#(X1,X2,X3,mark(X4)) -> U326#(X1,X2,X3,X4)
    U326#(active(X1),X2,X3,X4) -> U326#(X1,X2,X3,X4)
    U326#(X1,active(X2),X3,X4) -> U326#(X1,X2,X3,X4)
    U326#(X1,X2,active(X3),X4) -> U326#(X1,X2,X3,X4)
    U326#(X1,X2,X3,active(X4)) -> U326#(X1,X2,X3,X4)
    U327#(mark(X1),X2) -> U327#(X1,X2)
    U327#(X1,mark(X2)) -> U327#(X1,X2)
    U327#(active(X1),X2) -> U327#(X1,X2)
    U327#(X1,active(X2)) -> U327#(X1,X2)
    U34#(mark(X1),X2) -> U34#(X1,X2)
    U34#(X1,mark(X2)) -> U34#(X1,X2)
    U34#(active(X1),X2) -> U34#(X1,X2)
    U34#(X1,active(X2)) -> U34#(X1,X2)
    U331#(mark(X1),X2,X3) -> U331#(X1,X2,X3)
    U331#(X1,mark(X2),X3) -> U331#(X1,X2,X3)
    U331#(X1,X2,mark(X3)) -> U331#(X1,X2,X3)
    U331#(active(X1),X2,X3) -> U331#(X1,X2,X3)
    U331#(X1,active(X2),X3) -> U331#(X1,X2,X3)
    U331#(X1,X2,active(X3)) -> U331#(X1,X2,X3)
    U332#(mark(X1),X2) -> U332#(X1,X2)
    U332#(X1,mark(X2)) -> U332#(X1,X2)
    U332#(active(X1),X2) -> U332#(X1,X2)
    U332#(X1,active(X2)) -> U332#(X1,X2)
    U333#(mark(X1),X2) -> U333#(X1,X2)
    U333#(X1,mark(X2)) -> U333#(X1,X2)
    U333#(active(X1),X2) -> U333#(X1,X2)
    U333#(X1,active(X2)) -> U333#(X1,X2)
    U334#(mark(X1),X2) -> U334#(X1,X2)
    U334#(X1,mark(X2)) -> U334#(X1,X2)
    U334#(active(X1),X2) -> U334#(X1,X2)
    U334#(X1,active(X2)) -> U334#(X1,X2)
    U341#(mark(X1),X2,X3) -> U341#(X1,X2,X3)
    U341#(X1,mark(X2),X3) -> U341#(X1,X2,X3)
    U341#(X1,X2,mark(X3)) -> U341#(X1,X2,X3)
    U341#(active(X1),X2,X3) -> U341#(X1,X2,X3)
    U341#(X1,active(X2),X3) -> U341#(X1,X2,X3)
    U341#(X1,X2,active(X3)) -> U341#(X1,X2,X3)
    U342#(mark(X1),X2,X3) -> U342#(X1,X2,X3)
    U342#(X1,mark(X2),X3) -> U342#(X1,X2,X3)
    U342#(X1,X2,mark(X3)) -> U342#(X1,X2,X3)
    U342#(active(X1),X2,X3) -> U342#(X1,X2,X3)
    U342#(X1,active(X2),X3) -> U342#(X1,X2,X3)
    U342#(X1,X2,active(X3)) -> U342#(X1,X2,X3)
    U343#(mark(X1),X2,X3) -> U343#(X1,X2,X3)
    U343#(X1,mark(X2),X3) -> U343#(X1,X2,X3)
    U343#(X1,X2,mark(X3)) -> U343#(X1,X2,X3)
    U343#(active(X1),X2,X3) -> U343#(X1,X2,X3)
    U343#(X1,active(X2),X3) -> U343#(X1,X2,X3)
    U343#(X1,X2,active(X3)) -> U343#(X1,X2,X3)
    U344#(mark(X1),X2,X3) -> U344#(X1,X2,X3)
    U344#(X1,mark(X2),X3) -> U344#(X1,X2,X3)
    U344#(X1,X2,mark(X3)) -> U344#(X1,X2,X3)
    U344#(active(X1),X2,X3) -> U344#(X1,X2,X3)
    U344#(X1,active(X2),X3) -> U344#(X1,X2,X3)
    U344#(X1,X2,active(X3)) -> U344#(X1,X2,X3)
    fst#(mark(X)) -> fst#(X)
    fst#(active(X)) -> fst#(X)
    U41#(mark(X1),X2,X3) -> U41#(X1,X2,X3)
    U41#(X1,mark(X2),X3) -> U41#(X1,X2,X3)
    U41#(X1,X2,mark(X3)) -> U41#(X1,X2,X3)
    U41#(active(X1),X2,X3) -> U41#(X1,X2,X3)
    U41#(X1,active(X2),X3) -> U41#(X1,X2,X3)
    U41#(X1,X2,active(X3)) -> U41#(X1,X2,X3)
    U42#(mark(X1),X2,X3) -> U42#(X1,X2,X3)
    U42#(X1,mark(X2),X3) -> U42#(X1,X2,X3)
    U42#(X1,X2,mark(X3)) -> U42#(X1,X2,X3)
    U42#(active(X1),X2,X3) -> U42#(X1,X2,X3)
    U42#(X1,active(X2),X3) -> U42#(X1,X2,X3)
    U42#(X1,X2,active(X3)) -> U42#(X1,X2,X3)
    U43#(mark(X1),X2,X3) -> U43#(X1,X2,X3)
    U43#(X1,mark(X2),X3) -> U43#(X1,X2,X3)
    U43#(X1,X2,mark(X3)) -> U43#(X1,X2,X3)
    U43#(active(X1),X2,X3) -> U43#(X1,X2,X3)
    U43#(X1,active(X2),X3) -> U43#(X1,X2,X3)
    U43#(X1,X2,active(X3)) -> U43#(X1,X2,X3)
    U44#(mark(X1),X2,X3) -> U44#(X1,X2,X3)
    U44#(X1,mark(X2),X3) -> U44#(X1,X2,X3)
    U44#(X1,X2,mark(X3)) -> U44#(X1,X2,X3)
    U44#(active(X1),X2,X3) -> U44#(X1,X2,X3)
    U44#(X1,active(X2),X3) -> U44#(X1,X2,X3)
    U44#(X1,X2,active(X3)) -> U44#(X1,X2,X3)
    U45#(mark(X1),X2) -> U45#(X1,X2)
    U45#(X1,mark(X2)) -> U45#(X1,X2)
    U45#(active(X1),X2) -> U45#(X1,X2)
    U45#(X1,active(X2)) -> U45#(X1,X2)
    U46#(mark(X)) -> U46#(X)
    U46#(active(X)) -> U46#(X)
    U51#(mark(X1),X2,X3) -> U51#(X1,X2,X3)
    U51#(X1,mark(X2),X3) -> U51#(X1,X2,X3)
    U51#(X1,X2,mark(X3)) -> U51#(X1,X2,X3)
    U51#(active(X1),X2,X3) -> U51#(X1,X2,X3)
    U51#(X1,active(X2),X3) -> U51#(X1,X2,X3)
    U51#(X1,X2,active(X3)) -> U51#(X1,X2,X3)
    U52#(mark(X1),X2,X3) -> U52#(X1,X2,X3)
    U52#(X1,mark(X2),X3) -> U52#(X1,X2,X3)
    U52#(X1,X2,mark(X3)) -> U52#(X1,X2,X3)
    U52#(active(X1),X2,X3) -> U52#(X1,X2,X3)
    U52#(X1,active(X2),X3) -> U52#(X1,X2,X3)
    U52#(X1,X2,active(X3)) -> U52#(X1,X2,X3)
    U53#(mark(X1),X2,X3) -> U53#(X1,X2,X3)
    U53#(X1,mark(X2),X3) -> U53#(X1,X2,X3)
    U53#(X1,X2,mark(X3)) -> U53#(X1,X2,X3)
    U53#(active(X1),X2,X3) -> U53#(X1,X2,X3)
    U53#(X1,active(X2),X3) -> U53#(X1,X2,X3)
    U53#(X1,X2,active(X3)) -> U53#(X1,X2,X3)
    U54#(mark(X1),X2,X3) -> U54#(X1,X2,X3)
    U54#(X1,mark(X2),X3) -> U54#(X1,X2,X3)
    U54#(X1,X2,mark(X3)) -> U54#(X1,X2,X3)
    U54#(active(X1),X2,X3) -> U54#(X1,X2,X3)
    U54#(X1,active(X2),X3) -> U54#(X1,X2,X3)
    U54#(X1,X2,active(X3)) -> U54#(X1,X2,X3)
    U55#(mark(X1),X2) -> U55#(X1,X2)
    U55#(X1,mark(X2)) -> U55#(X1,X2)
    U55#(active(X1),X2) -> U55#(X1,X2)
    U55#(X1,active(X2)) -> U55#(X1,X2)
    U56#(mark(X)) -> U56#(X)
    U56#(active(X)) -> U56#(X)
    U61#(mark(X1),X2) -> U61#(X1,X2)
    U61#(X1,mark(X2)) -> U61#(X1,X2)
    U61#(active(X1),X2) -> U61#(X1,X2)
    U61#(X1,active(X2)) -> U61#(X1,X2)
    U62#(mark(X1),X2) -> U62#(X1,X2)
    U62#(X1,mark(X2)) -> U62#(X1,X2)
    U62#(active(X1),X2) -> U62#(X1,X2)
    U62#(X1,active(X2)) -> U62#(X1,X2)
    isPLNatKind#(mark(X)) -> isPLNatKind#(X)
    isPLNatKind#(active(X)) -> isPLNatKind#(X)
    U63#(mark(X)) -> U63#(X)
    U63#(active(X)) -> U63#(X)
    isPLNat#(mark(X)) -> isPLNat#(X)
    isPLNat#(active(X)) -> isPLNat#(X)
    U71#(mark(X1),X2) -> U71#(X1,X2)
    U71#(X1,mark(X2)) -> U71#(X1,X2)
    U71#(active(X1),X2) -> U71#(X1,X2)
    U71#(X1,active(X2)) -> U71#(X1,X2)
    U72#(mark(X1),X2) -> U72#(X1,X2)
    U72#(X1,mark(X2)) -> U72#(X1,X2)
    U72#(active(X1),X2) -> U72#(X1,X2)
    U72#(X1,active(X2)) -> U72#(X1,X2)
    U73#(mark(X)) -> U73#(X)
    U73#(active(X)) -> U73#(X)
    U81#(mark(X1),X2) -> U81#(X1,X2)
    U81#(X1,mark(X2)) -> U81#(X1,X2)
    U81#(active(X1),X2) -> U81#(X1,X2)
    U81#(X1,active(X2)) -> U81#(X1,X2)
    U82#(mark(X1),X2) -> U82#(X1,X2)
    U82#(X1,mark(X2)) -> U82#(X1,X2)
    U82#(active(X1),X2) -> U82#(X1,X2)
    U82#(X1,active(X2)) -> U82#(X1,X2)
    U83#(mark(X)) -> U83#(X)
    U83#(active(X)) -> U83#(X)
    U91#(mark(X1),X2) -> U91#(X1,X2)
    U91#(X1,mark(X2)) -> U91#(X1,X2)
    U91#(active(X1),X2) -> U91#(X1,X2)
    U91#(X1,active(X2)) -> U91#(X1,X2)
    U92#(mark(X1),X2) -> U92#(X1,X2)
    U92#(X1,mark(X2)) -> U92#(X1,X2)
    U92#(active(X1),X2) -> U92#(X1,X2)
    U92#(X1,active(X2)) -> U92#(X1,X2)
    U93#(mark(X)) -> U93#(X)
    U93#(active(X)) -> U93#(X)
    tail#(mark(X)) -> tail#(X)
    tail#(active(X)) -> tail#(X)
    take#(mark(X1),X2) -> take#(X1,X2)
    take#(X1,mark(X2)) -> take#(X1,X2)
    take#(active(X1),X2) -> take#(X1,X2)
    take#(X1,active(X2)) -> take#(X1,X2)
    sel#(mark(X1),X2) -> sel#(X1,X2)
    sel#(X1,mark(X2)) -> sel#(X1,X2)
    sel#(active(X1),X2) -> sel#(X1,X2)
    sel#(X1,active(X2)) -> sel#(X1,X2)
   TRS:
    active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
    active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
    active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
    active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
    active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
    active(U106(tt())) -> mark(tt())
    active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
    active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
    active(U112(tt())) -> mark(tt())
    active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
    active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
    active(U122(tt())) -> mark(tt())
    active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
    active(U131(tt())) -> mark(tt())
    active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
    active(U141(tt())) -> mark(tt())
    active(U151(tt())) -> mark(tt())
    active(U161(tt())) -> mark(tt())
    active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
    active(U172(tt())) -> mark(tt())
    active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
    active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
    active(U183(tt())) -> mark(tt())
    active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
    active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
    active(U193(tt())) -> mark(tt())
    active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
    active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
    active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
    active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
    active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
    active(U206(tt())) -> mark(tt())
    active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
    active(U211(tt())) -> mark(tt())
    active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
    active(U221(tt())) -> mark(tt())
    active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
    active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
    active(U232(tt())) -> mark(tt())
    active(U24(tt(),X)) -> mark(X)
    active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
    active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
    active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
    active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
    active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
    active(U246(tt())) -> mark(tt())
    active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
    active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
    active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
    active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
    active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
    active(U256(tt())) -> mark(tt())
    active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
    active(U262(tt())) -> mark(tt())
    active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
    active(U272(tt())) -> mark(tt())
    active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
    active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
    active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
    active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
    active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
    active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
    active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
    active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
    active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
    active(U304(tt(),Y)) -> mark(Y)
    active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
    active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
    active(U312(tt(),XS)) -> mark(pair(nil(),XS))
    active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
    active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
    active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
    active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
    active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
    active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
    active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
    active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
    active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
    active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
    active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
    active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
    active(U334(tt(),XS)) -> mark(XS)
    active(U34(tt(),N)) -> mark(N)
    active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
    active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
    active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
    active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
    active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
    active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
    active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
    active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
    active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
    active(U46(tt())) -> mark(tt())
    active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
    active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
    active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
    active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
    active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
    active(U56(tt())) -> mark(tt())
    active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
    active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
    active(U63(tt())) -> mark(tt())
    active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
    active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
    active(U73(tt())) -> mark(tt())
    active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
    active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
    active(U83(tt())) -> mark(tt())
    active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
    active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
    active(U93(tt())) -> mark(tt())
    active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
    active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
    active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
    active(isLNat(nil())) -> mark(tt())
    active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
    active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
    active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
    active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
    active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
    active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
    active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
    active(isLNatKind(nil())) -> mark(tt())
    active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
    active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
    active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
    active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
    active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
    active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
    active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
    active(isNatural(0())) -> mark(tt())
    active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
    active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
    active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
    active(isNaturalKind(0())) -> mark(tt())
    active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
    active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
    active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
    active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
    active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
    active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
    active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
    active(natsFrom(N)) -> mark(U281(isNatural(N),N))
    active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
    active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
    active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
    active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
    active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
    active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
    mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
    mark(tt()) -> active(tt())
    mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
    mark(isNaturalKind(X)) -> active(isNaturalKind(X))
    mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
    mark(isLNatKind(X)) -> active(isLNatKind(X))
    mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
    mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
    mark(isNatural(X)) -> active(isNatural(X))
    mark(U106(X)) -> active(U106(mark(X)))
    mark(isLNat(X)) -> active(isLNat(X))
    mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
    mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
    mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
    mark(U112(X)) -> active(U112(mark(X)))
    mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
    mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
    mark(U122(X)) -> active(U122(mark(X)))
    mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
    mark(U131(X)) -> active(U131(mark(X)))
    mark(snd(X)) -> active(snd(mark(X)))
    mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
    mark(U141(X)) -> active(U141(mark(X)))
    mark(U151(X)) -> active(U151(mark(X)))
    mark(U161(X)) -> active(U161(mark(X)))
    mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
    mark(U172(X)) -> active(U172(mark(X)))
    mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
    mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
    mark(U183(X)) -> active(U183(mark(X)))
    mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
    mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
    mark(U193(X)) -> active(U193(mark(X)))
    mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
    mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
    mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
    mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
    mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
    mark(U206(X)) -> active(U206(mark(X)))
    mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
    mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
    mark(U211(X)) -> active(U211(mark(X)))
    mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
    mark(U221(X)) -> active(U221(mark(X)))
    mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
    mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
    mark(U232(X)) -> active(U232(mark(X)))
    mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
    mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
    mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
    mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
    mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
    mark(U246(X)) -> active(U246(mark(X)))
    mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
    mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
    mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
    mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
    mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
    mark(U256(X)) -> active(U256(mark(X)))
    mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
    mark(U262(X)) -> active(U262(mark(X)))
    mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
    mark(U272(X)) -> active(U272(mark(X)))
    mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
    mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
    mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
    mark(natsFrom(X)) -> active(natsFrom(mark(X)))
    mark(s(X)) -> active(s(mark(X)))
    mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
    mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
    mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
    mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
    mark(head(X)) -> active(head(mark(X)))
    mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
    mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
    mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
    mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
    mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
    mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
    mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
    mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
    mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
    mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
    mark(nil()) -> active(nil())
    mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
    mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
    mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
    mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
    mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
    mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
    mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
    mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
    mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
    mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
    mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
    mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
    mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
    mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
    mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
    mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
    mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
    mark(fst(X)) -> active(fst(mark(X)))
    mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
    mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
    mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
    mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
    mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
    mark(U46(X)) -> active(U46(mark(X)))
    mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
    mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
    mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
    mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
    mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
    mark(U56(X)) -> active(U56(mark(X)))
    mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
    mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
    mark(isPLNatKind(X)) -> active(isPLNatKind(X))
    mark(U63(X)) -> active(U63(mark(X)))
    mark(isPLNat(X)) -> active(isPLNat(X))
    mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
    mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
    mark(U73(X)) -> active(U73(mark(X)))
    mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
    mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
    mark(U83(X)) -> active(U83(mark(X)))
    mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
    mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
    mark(U93(X)) -> active(U93(mark(X)))
    mark(tail(X)) -> active(tail(mark(X)))
    mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
    mark(0()) -> active(0())
    mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
    U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
    U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
    U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
    U101(active(X1),X2,X3) -> U101(X1,X2,X3)
    U101(X1,active(X2),X3) -> U101(X1,X2,X3)
    U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
    U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
    U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
    U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
    U102(active(X1),X2,X3) -> U102(X1,X2,X3)
    U102(X1,active(X2),X3) -> U102(X1,X2,X3)
    U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
    isNaturalKind(mark(X)) -> isNaturalKind(X)
    isNaturalKind(active(X)) -> isNaturalKind(X)
    U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
    U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
    U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
    U103(active(X1),X2,X3) -> U103(X1,X2,X3)
    U103(X1,active(X2),X3) -> U103(X1,X2,X3)
    U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
    isLNatKind(mark(X)) -> isLNatKind(X)
    isLNatKind(active(X)) -> isLNatKind(X)
    U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
    U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
    U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
    U104(active(X1),X2,X3) -> U104(X1,X2,X3)
    U104(X1,active(X2),X3) -> U104(X1,X2,X3)
    U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
    U105(mark(X1),X2) -> U105(X1,X2)
    U105(X1,mark(X2)) -> U105(X1,X2)
    U105(active(X1),X2) -> U105(X1,X2)
    U105(X1,active(X2)) -> U105(X1,X2)
    isNatural(mark(X)) -> isNatural(X)
    isNatural(active(X)) -> isNatural(X)
    U106(mark(X)) -> U106(X)
    U106(active(X)) -> U106(X)
    isLNat(mark(X)) -> isLNat(X)
    isLNat(active(X)) -> isLNat(X)
    U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
    U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
    U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
    U11(active(X1),X2,X3) -> U11(X1,X2,X3)
    U11(X1,active(X2),X3) -> U11(X1,X2,X3)
    U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
    U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
    U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
    U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
    U12(active(X1),X2,X3) -> U12(X1,X2,X3)
    U12(X1,active(X2),X3) -> U12(X1,X2,X3)
    U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
    U111(mark(X1),X2) -> U111(X1,X2)
    U111(X1,mark(X2)) -> U111(X1,X2)
    U111(active(X1),X2) -> U111(X1,X2)
    U111(X1,active(X2)) -> U111(X1,X2)
    U112(mark(X)) -> U112(X)
    U112(active(X)) -> U112(X)
    U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
    U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
    U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
    U13(active(X1),X2,X3) -> U13(X1,X2,X3)
    U13(X1,active(X2),X3) -> U13(X1,X2,X3)
    U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
    U121(mark(X1),X2) -> U121(X1,X2)
    U121(X1,mark(X2)) -> U121(X1,X2)
    U121(active(X1),X2) -> U121(X1,X2)
    U121(X1,active(X2)) -> U121(X1,X2)
    U122(mark(X)) -> U122(X)
    U122(active(X)) -> U122(X)
    U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
    U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
    U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
    U14(active(X1),X2,X3) -> U14(X1,X2,X3)
    U14(X1,active(X2),X3) -> U14(X1,X2,X3)
    U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
    U131(mark(X)) -> U131(X)
    U131(active(X)) -> U131(X)
    snd(mark(X)) -> snd(X)
    snd(active(X)) -> snd(X)
    splitAt(mark(X1),X2) -> splitAt(X1,X2)
    splitAt(X1,mark(X2)) -> splitAt(X1,X2)
    splitAt(active(X1),X2) -> splitAt(X1,X2)
    splitAt(X1,active(X2)) -> splitAt(X1,X2)
    U141(mark(X)) -> U141(X)
    U141(active(X)) -> U141(X)
    U151(mark(X)) -> U151(X)
    U151(active(X)) -> U151(X)
    U161(mark(X)) -> U161(X)
    U161(active(X)) -> U161(X)
    U171(mark(X1),X2) -> U171(X1,X2)
    U171(X1,mark(X2)) -> U171(X1,X2)
    U171(active(X1),X2) -> U171(X1,X2)
    U171(X1,active(X2)) -> U171(X1,X2)
    U172(mark(X)) -> U172(X)
    U172(active(X)) -> U172(X)
    U181(mark(X1),X2) -> U181(X1,X2)
    U181(X1,mark(X2)) -> U181(X1,X2)
    U181(active(X1),X2) -> U181(X1,X2)
    U181(X1,active(X2)) -> U181(X1,X2)
    U182(mark(X1),X2) -> U182(X1,X2)
    U182(X1,mark(X2)) -> U182(X1,X2)
    U182(active(X1),X2) -> U182(X1,X2)
    U182(X1,active(X2)) -> U182(X1,X2)
    U183(mark(X)) -> U183(X)
    U183(active(X)) -> U183(X)
    U191(mark(X1),X2) -> U191(X1,X2)
    U191(X1,mark(X2)) -> U191(X1,X2)
    U191(active(X1),X2) -> U191(X1,X2)
    U191(X1,active(X2)) -> U191(X1,X2)
    U192(mark(X1),X2) -> U192(X1,X2)
    U192(X1,mark(X2)) -> U192(X1,X2)
    U192(active(X1),X2) -> U192(X1,X2)
    U192(X1,active(X2)) -> U192(X1,X2)
    U193(mark(X)) -> U193(X)
    U193(active(X)) -> U193(X)
    U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
    U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
    U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
    U201(active(X1),X2,X3) -> U201(X1,X2,X3)
    U201(X1,active(X2),X3) -> U201(X1,X2,X3)
    U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
    U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
    U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
    U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
    U202(active(X1),X2,X3) -> U202(X1,X2,X3)
    U202(X1,active(X2),X3) -> U202(X1,X2,X3)
    U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
    U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
    U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
    U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
    U203(active(X1),X2,X3) -> U203(X1,X2,X3)
    U203(X1,active(X2),X3) -> U203(X1,X2,X3)
    U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
    U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
    U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
    U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
    U204(active(X1),X2,X3) -> U204(X1,X2,X3)
    U204(X1,active(X2),X3) -> U204(X1,X2,X3)
    U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
    U205(mark(X1),X2) -> U205(X1,X2)
    U205(X1,mark(X2)) -> U205(X1,X2)
    U205(active(X1),X2) -> U205(X1,X2)
    U205(X1,active(X2)) -> U205(X1,X2)
    U206(mark(X)) -> U206(X)
    U206(active(X)) -> U206(X)
    U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
    U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
    U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
    U21(active(X1),X2,X3) -> U21(X1,X2,X3)
    U21(X1,active(X2),X3) -> U21(X1,X2,X3)
    U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
    U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
    U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
    U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
    U22(active(X1),X2,X3) -> U22(X1,X2,X3)
    U22(X1,active(X2),X3) -> U22(X1,X2,X3)
    U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
    U211(mark(X)) -> U211(X)
    U211(active(X)) -> U211(X)
    U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
    U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
    U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
    U23(active(X1),X2,X3) -> U23(X1,X2,X3)
    U23(X1,active(X2),X3) -> U23(X1,X2,X3)
    U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
    U221(mark(X)) -> U221(X)
    U221(active(X)) -> U221(X)
    U24(mark(X1),X2) -> U24(X1,X2)
    U24(X1,mark(X2)) -> U24(X1,X2)
    U24(active(X1),X2) -> U24(X1,X2)
    U24(X1,active(X2)) -> U24(X1,X2)
    U231(mark(X1),X2) -> U231(X1,X2)
    U231(X1,mark(X2)) -> U231(X1,X2)
    U231(active(X1),X2) -> U231(X1,X2)
    U231(X1,active(X2)) -> U231(X1,X2)
    U232(mark(X)) -> U232(X)
    U232(active(X)) -> U232(X)
    U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
    U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
    U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
    U241(active(X1),X2,X3) -> U241(X1,X2,X3)
    U241(X1,active(X2),X3) -> U241(X1,X2,X3)
    U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
    U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
    U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
    U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
    U242(active(X1),X2,X3) -> U242(X1,X2,X3)
    U242(X1,active(X2),X3) -> U242(X1,X2,X3)
    U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
    U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
    U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
    U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
    U243(active(X1),X2,X3) -> U243(X1,X2,X3)
    U243(X1,active(X2),X3) -> U243(X1,X2,X3)
    U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
    U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
    U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
    U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
    U244(active(X1),X2,X3) -> U244(X1,X2,X3)
    U244(X1,active(X2),X3) -> U244(X1,X2,X3)
    U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
    U245(mark(X1),X2) -> U245(X1,X2)
    U245(X1,mark(X2)) -> U245(X1,X2)
    U245(active(X1),X2) -> U245(X1,X2)
    U245(X1,active(X2)) -> U245(X1,X2)
    U246(mark(X)) -> U246(X)
    U246(active(X)) -> U246(X)
    U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
    U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
    U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
    U251(active(X1),X2,X3) -> U251(X1,X2,X3)
    U251(X1,active(X2),X3) -> U251(X1,X2,X3)
    U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
    U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
    U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
    U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
    U252(active(X1),X2,X3) -> U252(X1,X2,X3)
    U252(X1,active(X2),X3) -> U252(X1,X2,X3)
    U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
    U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
    U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
    U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
    U253(active(X1),X2,X3) -> U253(X1,X2,X3)
    U253(X1,active(X2),X3) -> U253(X1,X2,X3)
    U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
    U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
    U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
    U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
    U254(active(X1),X2,X3) -> U254(X1,X2,X3)
    U254(X1,active(X2),X3) -> U254(X1,X2,X3)
    U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
    U255(mark(X1),X2) -> U255(X1,X2)
    U255(X1,mark(X2)) -> U255(X1,X2)
    U255(active(X1),X2) -> U255(X1,X2)
    U255(X1,active(X2)) -> U255(X1,X2)
    U256(mark(X)) -> U256(X)
    U256(active(X)) -> U256(X)
    U261(mark(X1),X2) -> U261(X1,X2)
    U261(X1,mark(X2)) -> U261(X1,X2)
    U261(active(X1),X2) -> U261(X1,X2)
    U261(X1,active(X2)) -> U261(X1,X2)
    U262(mark(X)) -> U262(X)
    U262(active(X)) -> U262(X)
    U271(mark(X1),X2) -> U271(X1,X2)
    U271(X1,mark(X2)) -> U271(X1,X2)
    U271(active(X1),X2) -> U271(X1,X2)
    U271(X1,active(X2)) -> U271(X1,X2)
    U272(mark(X)) -> U272(X)
    U272(active(X)) -> U272(X)
    U281(mark(X1),X2) -> U281(X1,X2)
    U281(X1,mark(X2)) -> U281(X1,X2)
    U281(active(X1),X2) -> U281(X1,X2)
    U281(X1,active(X2)) -> U281(X1,X2)
    U282(mark(X1),X2) -> U282(X1,X2)
    U282(X1,mark(X2)) -> U282(X1,X2)
    U282(active(X1),X2) -> U282(X1,X2)
    U282(X1,active(X2)) -> U282(X1,X2)
    cons(mark(X1),X2) -> cons(X1,X2)
    cons(X1,mark(X2)) -> cons(X1,X2)
    cons(active(X1),X2) -> cons(X1,X2)
    cons(X1,active(X2)) -> cons(X1,X2)
    natsFrom(mark(X)) -> natsFrom(X)
    natsFrom(active(X)) -> natsFrom(X)
    s(mark(X)) -> s(X)
    s(active(X)) -> s(X)
    U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
    U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
    U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
    U291(active(X1),X2,X3) -> U291(X1,X2,X3)
    U291(X1,active(X2),X3) -> U291(X1,X2,X3)
    U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
    U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
    U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
    U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
    U292(active(X1),X2,X3) -> U292(X1,X2,X3)
    U292(X1,active(X2),X3) -> U292(X1,X2,X3)
    U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
    U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
    U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
    U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
    U293(active(X1),X2,X3) -> U293(X1,X2,X3)
    U293(X1,active(X2),X3) -> U293(X1,X2,X3)
    U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
    U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
    U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
    U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
    U294(active(X1),X2,X3) -> U294(X1,X2,X3)
    U294(X1,active(X2),X3) -> U294(X1,X2,X3)
    U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
    head(mark(X)) -> head(X)
    head(active(X)) -> head(X)
    afterNth(mark(X1),X2) -> afterNth(X1,X2)
    afterNth(X1,mark(X2)) -> afterNth(X1,X2)
    afterNth(active(X1),X2) -> afterNth(X1,X2)
    afterNth(X1,active(X2)) -> afterNth(X1,X2)
    U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
    U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
    U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
    U301(active(X1),X2,X3) -> U301(X1,X2,X3)
    U301(X1,active(X2),X3) -> U301(X1,X2,X3)
    U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
    U302(mark(X1),X2) -> U302(X1,X2)
    U302(X1,mark(X2)) -> U302(X1,X2)
    U302(active(X1),X2) -> U302(X1,X2)
    U302(X1,active(X2)) -> U302(X1,X2)
    U303(mark(X1),X2) -> U303(X1,X2)
    U303(X1,mark(X2)) -> U303(X1,X2)
    U303(active(X1),X2) -> U303(X1,X2)
    U303(X1,active(X2)) -> U303(X1,X2)
    U304(mark(X1),X2) -> U304(X1,X2)
    U304(X1,mark(X2)) -> U304(X1,X2)
    U304(active(X1),X2) -> U304(X1,X2)
    U304(X1,active(X2)) -> U304(X1,X2)
    U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
    U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
    U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
    U31(active(X1),X2,X3) -> U31(X1,X2,X3)
    U31(X1,active(X2),X3) -> U31(X1,X2,X3)
    U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
    U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
    U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
    U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
    U32(active(X1),X2,X3) -> U32(X1,X2,X3)
    U32(X1,active(X2),X3) -> U32(X1,X2,X3)
    U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
    U311(mark(X1),X2) -> U311(X1,X2)
    U311(X1,mark(X2)) -> U311(X1,X2)
    U311(active(X1),X2) -> U311(X1,X2)
    U311(X1,active(X2)) -> U311(X1,X2)
    U312(mark(X1),X2) -> U312(X1,X2)
    U312(X1,mark(X2)) -> U312(X1,X2)
    U312(active(X1),X2) -> U312(X1,X2)
    U312(X1,active(X2)) -> U312(X1,X2)
    pair(mark(X1),X2) -> pair(X1,X2)
    pair(X1,mark(X2)) -> pair(X1,X2)
    pair(active(X1),X2) -> pair(X1,X2)
    pair(X1,active(X2)) -> pair(X1,X2)
    U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
    U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
    U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
    U33(active(X1),X2,X3) -> U33(X1,X2,X3)
    U33(X1,active(X2),X3) -> U33(X1,X2,X3)
    U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
    U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
    U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
    U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
    U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
    U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
    U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
    U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
    U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
    U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
    U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
    U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
    U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
    U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
    U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
    U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
    U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
    U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
    U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
    U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
    U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
    U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
    U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
    U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
    U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
    U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
    U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
    U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
    U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
    U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
    U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
    U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
    U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
    U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
    U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
    U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
    U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
    U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
    U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
    U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
    U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
    U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
    U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
    U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
    U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
    U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
    U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
    U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
    U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
    U327(mark(X1),X2) -> U327(X1,X2)
    U327(X1,mark(X2)) -> U327(X1,X2)
    U327(active(X1),X2) -> U327(X1,X2)
    U327(X1,active(X2)) -> U327(X1,X2)
    U34(mark(X1),X2) -> U34(X1,X2)
    U34(X1,mark(X2)) -> U34(X1,X2)
    U34(active(X1),X2) -> U34(X1,X2)
    U34(X1,active(X2)) -> U34(X1,X2)
    U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
    U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
    U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
    U331(active(X1),X2,X3) -> U331(X1,X2,X3)
    U331(X1,active(X2),X3) -> U331(X1,X2,X3)
    U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
    U332(mark(X1),X2) -> U332(X1,X2)
    U332(X1,mark(X2)) -> U332(X1,X2)
    U332(active(X1),X2) -> U332(X1,X2)
    U332(X1,active(X2)) -> U332(X1,X2)
    U333(mark(X1),X2) -> U333(X1,X2)
    U333(X1,mark(X2)) -> U333(X1,X2)
    U333(active(X1),X2) -> U333(X1,X2)
    U333(X1,active(X2)) -> U333(X1,X2)
    U334(mark(X1),X2) -> U334(X1,X2)
    U334(X1,mark(X2)) -> U334(X1,X2)
    U334(active(X1),X2) -> U334(X1,X2)
    U334(X1,active(X2)) -> U334(X1,X2)
    U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
    U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
    U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
    U341(active(X1),X2,X3) -> U341(X1,X2,X3)
    U341(X1,active(X2),X3) -> U341(X1,X2,X3)
    U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
    U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
    U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
    U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
    U342(active(X1),X2,X3) -> U342(X1,X2,X3)
    U342(X1,active(X2),X3) -> U342(X1,X2,X3)
    U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
    U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
    U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
    U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
    U343(active(X1),X2,X3) -> U343(X1,X2,X3)
    U343(X1,active(X2),X3) -> U343(X1,X2,X3)
    U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
    U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
    U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
    U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
    U344(active(X1),X2,X3) -> U344(X1,X2,X3)
    U344(X1,active(X2),X3) -> U344(X1,X2,X3)
    U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
    fst(mark(X)) -> fst(X)
    fst(active(X)) -> fst(X)
    U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
    U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
    U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
    U41(active(X1),X2,X3) -> U41(X1,X2,X3)
    U41(X1,active(X2),X3) -> U41(X1,X2,X3)
    U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
    U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
    U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
    U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
    U42(active(X1),X2,X3) -> U42(X1,X2,X3)
    U42(X1,active(X2),X3) -> U42(X1,X2,X3)
    U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
    U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
    U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
    U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
    U43(active(X1),X2,X3) -> U43(X1,X2,X3)
    U43(X1,active(X2),X3) -> U43(X1,X2,X3)
    U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
    U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
    U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
    U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
    U44(active(X1),X2,X3) -> U44(X1,X2,X3)
    U44(X1,active(X2),X3) -> U44(X1,X2,X3)
    U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
    U45(mark(X1),X2) -> U45(X1,X2)
    U45(X1,mark(X2)) -> U45(X1,X2)
    U45(active(X1),X2) -> U45(X1,X2)
    U45(X1,active(X2)) -> U45(X1,X2)
    U46(mark(X)) -> U46(X)
    U46(active(X)) -> U46(X)
    U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
    U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
    U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
    U51(active(X1),X2,X3) -> U51(X1,X2,X3)
    U51(X1,active(X2),X3) -> U51(X1,X2,X3)
    U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
    U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
    U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
    U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
    U52(active(X1),X2,X3) -> U52(X1,X2,X3)
    U52(X1,active(X2),X3) -> U52(X1,X2,X3)
    U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
    U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
    U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
    U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
    U53(active(X1),X2,X3) -> U53(X1,X2,X3)
    U53(X1,active(X2),X3) -> U53(X1,X2,X3)
    U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
    U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
    U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
    U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
    U54(active(X1),X2,X3) -> U54(X1,X2,X3)
    U54(X1,active(X2),X3) -> U54(X1,X2,X3)
    U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
    U55(mark(X1),X2) -> U55(X1,X2)
    U55(X1,mark(X2)) -> U55(X1,X2)
    U55(active(X1),X2) -> U55(X1,X2)
    U55(X1,active(X2)) -> U55(X1,X2)
    U56(mark(X)) -> U56(X)
    U56(active(X)) -> U56(X)
    U61(mark(X1),X2) -> U61(X1,X2)
    U61(X1,mark(X2)) -> U61(X1,X2)
    U61(active(X1),X2) -> U61(X1,X2)
    U61(X1,active(X2)) -> U61(X1,X2)
    U62(mark(X1),X2) -> U62(X1,X2)
    U62(X1,mark(X2)) -> U62(X1,X2)
    U62(active(X1),X2) -> U62(X1,X2)
    U62(X1,active(X2)) -> U62(X1,X2)
    isPLNatKind(mark(X)) -> isPLNatKind(X)
    isPLNatKind(active(X)) -> isPLNatKind(X)
    U63(mark(X)) -> U63(X)
    U63(active(X)) -> U63(X)
    isPLNat(mark(X)) -> isPLNat(X)
    isPLNat(active(X)) -> isPLNat(X)
    U71(mark(X1),X2) -> U71(X1,X2)
    U71(X1,mark(X2)) -> U71(X1,X2)
    U71(active(X1),X2) -> U71(X1,X2)
    U71(X1,active(X2)) -> U71(X1,X2)
    U72(mark(X1),X2) -> U72(X1,X2)
    U72(X1,mark(X2)) -> U72(X1,X2)
    U72(active(X1),X2) -> U72(X1,X2)
    U72(X1,active(X2)) -> U72(X1,X2)
    U73(mark(X)) -> U73(X)
    U73(active(X)) -> U73(X)
    U81(mark(X1),X2) -> U81(X1,X2)
    U81(X1,mark(X2)) -> U81(X1,X2)
    U81(active(X1),X2) -> U81(X1,X2)
    U81(X1,active(X2)) -> U81(X1,X2)
    U82(mark(X1),X2) -> U82(X1,X2)
    U82(X1,mark(X2)) -> U82(X1,X2)
    U82(active(X1),X2) -> U82(X1,X2)
    U82(X1,active(X2)) -> U82(X1,X2)
    U83(mark(X)) -> U83(X)
    U83(active(X)) -> U83(X)
    U91(mark(X1),X2) -> U91(X1,X2)
    U91(X1,mark(X2)) -> U91(X1,X2)
    U91(active(X1),X2) -> U91(X1,X2)
    U91(X1,active(X2)) -> U91(X1,X2)
    U92(mark(X1),X2) -> U92(X1,X2)
    U92(X1,mark(X2)) -> U92(X1,X2)
    U92(active(X1),X2) -> U92(X1,X2)
    U92(X1,active(X2)) -> U92(X1,X2)
    U93(mark(X)) -> U93(X)
    U93(active(X)) -> U93(X)
    tail(mark(X)) -> tail(X)
    tail(active(X)) -> tail(X)
    take(mark(X1),X2) -> take(X1,X2)
    take(X1,mark(X2)) -> take(X1,X2)
    take(active(X1),X2) -> take(X1,X2)
    take(X1,active(X2)) -> take(X1,X2)
    sel(mark(X1),X2) -> sel(X1,X2)
    sel(X1,mark(X2)) -> sel(X1,X2)
    sel(active(X1),X2) -> sel(X1,X2)
    sel(X1,active(X2)) -> sel(X1,X2)
   graph:
    ...
   Restore Modifier:
    DPs:
     active#(U101(tt(),V1,V2)) -> isNaturalKind#(V1)
     active#(U101(tt(),V1,V2)) -> U102#(isNaturalKind(V1),V1,V2)
     active#(U101(tt(),V1,V2)) -> mark#(U102(isNaturalKind(V1),V1,V2))
     active#(U102(tt(),V1,V2)) -> isLNatKind#(V2)
     active#(U102(tt(),V1,V2)) -> U103#(isLNatKind(V2),V1,V2)
     active#(U102(tt(),V1,V2)) -> mark#(U103(isLNatKind(V2),V1,V2))
     active#(U103(tt(),V1,V2)) -> isLNatKind#(V2)
     active#(U103(tt(),V1,V2)) -> U104#(isLNatKind(V2),V1,V2)
     active#(U103(tt(),V1,V2)) -> mark#(U104(isLNatKind(V2),V1,V2))
     active#(U104(tt(),V1,V2)) -> isNatural#(V1)
     active#(U104(tt(),V1,V2)) -> U105#(isNatural(V1),V2)
     active#(U104(tt(),V1,V2)) -> mark#(U105(isNatural(V1),V2))
     active#(U105(tt(),V2)) -> isLNat#(V2)
     active#(U105(tt(),V2)) -> U106#(isLNat(V2))
     active#(U105(tt(),V2)) -> mark#(U106(isLNat(V2)))
     active#(U106(tt())) -> mark#(tt())
     active#(U11(tt(),N,XS)) -> isNaturalKind#(N)
     active#(U11(tt(),N,XS)) -> U12#(isNaturalKind(N),N,XS)
     active#(U11(tt(),N,XS)) -> mark#(U12(isNaturalKind(N),N,XS))
     active#(U111(tt(),V2)) -> isLNatKind#(V2)
     active#(U111(tt(),V2)) -> U112#(isLNatKind(V2))
     active#(U111(tt(),V2)) -> mark#(U112(isLNatKind(V2)))
     active#(U112(tt())) -> mark#(tt())
     active#(U12(tt(),N,XS)) -> isLNat#(XS)
     active#(U12(tt(),N,XS)) -> U13#(isLNat(XS),N,XS)
     active#(U12(tt(),N,XS)) -> mark#(U13(isLNat(XS),N,XS))
     active#(U121(tt(),V2)) -> isLNatKind#(V2)
     active#(U121(tt(),V2)) -> U122#(isLNatKind(V2))
     active#(U121(tt(),V2)) -> mark#(U122(isLNatKind(V2)))
     active#(U122(tt())) -> mark#(tt())
     active#(U13(tt(),N,XS)) -> isLNatKind#(XS)
     active#(U13(tt(),N,XS)) -> U14#(isLNatKind(XS),N,XS)
     active#(U13(tt(),N,XS)) -> mark#(U14(isLNatKind(XS),N,XS))
     active#(U131(tt())) -> mark#(tt())
     active#(U14(tt(),N,XS)) -> splitAt#(N,XS)
     active#(U14(tt(),N,XS)) -> snd#(splitAt(N,XS))
     active#(U14(tt(),N,XS)) -> mark#(snd(splitAt(N,XS)))
     active#(U141(tt())) -> mark#(tt())
     active#(U151(tt())) -> mark#(tt())
     active#(U161(tt())) -> mark#(tt())
     active#(U171(tt(),V2)) -> isLNatKind#(V2)
     active#(U171(tt(),V2)) -> U172#(isLNatKind(V2))
     active#(U171(tt(),V2)) -> mark#(U172(isLNatKind(V2)))
     active#(U172(tt())) -> mark#(tt())
     active#(U181(tt(),V1)) -> isLNatKind#(V1)
     active#(U181(tt(),V1)) -> U182#(isLNatKind(V1),V1)
     active#(U181(tt(),V1)) -> mark#(U182(isLNatKind(V1),V1))
     active#(U182(tt(),V1)) -> isLNat#(V1)
     active#(U182(tt(),V1)) -> U183#(isLNat(V1))
     active#(U182(tt(),V1)) -> mark#(U183(isLNat(V1)))
     active#(U183(tt())) -> mark#(tt())
     active#(U191(tt(),V1)) -> isNaturalKind#(V1)
     active#(U191(tt(),V1)) -> U192#(isNaturalKind(V1),V1)
     active#(U191(tt(),V1)) -> mark#(U192(isNaturalKind(V1),V1))
     active#(U192(tt(),V1)) -> isNatural#(V1)
     active#(U192(tt(),V1)) -> U193#(isNatural(V1))
     active#(U192(tt(),V1)) -> mark#(U193(isNatural(V1)))
     active#(U193(tt())) -> mark#(tt())
     active#(U201(tt(),V1,V2)) -> isNaturalKind#(V1)
     active#(U201(tt(),V1,V2)) -> U202#(isNaturalKind(V1),V1,V2)
     active#(U201(tt(),V1,V2)) -> mark#(U202(isNaturalKind(V1),V1,V2))
     active#(U202(tt(),V1,V2)) -> isLNatKind#(V2)
     active#(U202(tt(),V1,V2)) -> U203#(isLNatKind(V2),V1,V2)
     active#(U202(tt(),V1,V2)) -> mark#(U203(isLNatKind(V2),V1,V2))
     active#(U203(tt(),V1,V2)) -> isLNatKind#(V2)
     active#(U203(tt(),V1,V2)) -> U204#(isLNatKind(V2),V1,V2)
     active#(U203(tt(),V1,V2)) -> mark#(U204(isLNatKind(V2),V1,V2))
     active#(U204(tt(),V1,V2)) -> isNatural#(V1)
     active#(U204(tt(),V1,V2)) -> U205#(isNatural(V1),V2)
     active#(U204(tt(),V1,V2)) -> mark#(U205(isNatural(V1),V2))
     active#(U205(tt(),V2)) -> isLNat#(V2)
     active#(U205(tt(),V2)) -> U206#(isLNat(V2))
     active#(U205(tt(),V2)) -> mark#(U206(isLNat(V2)))
     active#(U206(tt())) -> mark#(tt())
     active#(U21(tt(),X,Y)) -> isLNatKind#(X)
     active#(U21(tt(),X,Y)) -> U22#(isLNatKind(X),X,Y)
     active#(U21(tt(),X,Y)) -> mark#(U22(isLNatKind(X),X,Y))
     active#(U211(tt())) -> mark#(tt())
     active#(U22(tt(),X,Y)) -> isLNat#(Y)
     active#(U22(tt(),X,Y)) -> U23#(isLNat(Y),X,Y)
     active#(U22(tt(),X,Y)) -> mark#(U23(isLNat(Y),X,Y))
     active#(U221(tt())) -> mark#(tt())
     active#(U23(tt(),X,Y)) -> isLNatKind#(Y)
     active#(U23(tt(),X,Y)) -> U24#(isLNatKind(Y),X)
     active#(U23(tt(),X,Y)) -> mark#(U24(isLNatKind(Y),X))
     active#(U231(tt(),V2)) -> isLNatKind#(V2)
     active#(U231(tt(),V2)) -> U232#(isLNatKind(V2))
     active#(U231(tt(),V2)) -> mark#(U232(isLNatKind(V2)))
     active#(U232(tt())) -> mark#(tt())
     active#(U24(tt(),X)) -> mark#(X)
     active#(U241(tt(),V1,V2)) -> isLNatKind#(V1)
     active#(U241(tt(),V1,V2)) -> U242#(isLNatKind(V1),V1,V2)
     active#(U241(tt(),V1,V2)) -> mark#(U242(isLNatKind(V1),V1,V2))
     active#(U242(tt(),V1,V2)) -> isLNatKind#(V2)
     active#(U242(tt(),V1,V2)) -> U243#(isLNatKind(V2),V1,V2)
     active#(U242(tt(),V1,V2)) -> mark#(U243(isLNatKind(V2),V1,V2))
     active#(U243(tt(),V1,V2)) -> isLNatKind#(V2)
     active#(U243(tt(),V1,V2)) -> U244#(isLNatKind(V2),V1,V2)
     active#(U243(tt(),V1,V2)) -> mark#(U244(isLNatKind(V2),V1,V2))
     active#(U244(tt(),V1,V2)) -> isLNat#(V1)
     active#(U244(tt(),V1,V2)) -> U245#(isLNat(V1),V2)
     active#(U244(tt(),V1,V2)) -> mark#(U245(isLNat(V1),V2))
     active#(U245(tt(),V2)) -> isLNat#(V2)
     active#(U245(tt(),V2)) -> U246#(isLNat(V2))
     active#(U245(tt(),V2)) -> mark#(U246(isLNat(V2)))
     active#(U246(tt())) -> mark#(tt())
     active#(U251(tt(),V1,V2)) -> isNaturalKind#(V1)
     active#(U251(tt(),V1,V2)) -> U252#(isNaturalKind(V1),V1,V2)
     active#(U251(tt(),V1,V2)) -> mark#(U252(isNaturalKind(V1),V1,V2))
     active#(U252(tt(),V1,V2)) -> isLNatKind#(V2)
     active#(U252(tt(),V1,V2)) -> U253#(isLNatKind(V2),V1,V2)
     active#(U252(tt(),V1,V2)) -> mark#(U253(isLNatKind(V2),V1,V2))
     active#(U253(tt(),V1,V2)) -> isLNatKind#(V2)
     active#(U253(tt(),V1,V2)) -> U254#(isLNatKind(V2),V1,V2)
     active#(U253(tt(),V1,V2)) -> mark#(U254(isLNatKind(V2),V1,V2))
     active#(U254(tt(),V1,V2)) -> isNatural#(V1)
     active#(U254(tt(),V1,V2)) -> U255#(isNatural(V1),V2)
     active#(U254(tt(),V1,V2)) -> mark#(U255(isNatural(V1),V2))
     active#(U255(tt(),V2)) -> isLNat#(V2)
     active#(U255(tt(),V2)) -> U256#(isLNat(V2))
     active#(U255(tt(),V2)) -> mark#(U256(isLNat(V2)))
     active#(U256(tt())) -> mark#(tt())
     active#(U261(tt(),V2)) -> isLNatKind#(V2)
     active#(U261(tt(),V2)) -> U262#(isLNatKind(V2))
     active#(U261(tt(),V2)) -> mark#(U262(isLNatKind(V2)))
     active#(U262(tt())) -> mark#(tt())
     active#(U271(tt(),V2)) -> isLNatKind#(V2)
     active#(U271(tt(),V2)) -> U272#(isLNatKind(V2))
     active#(U271(tt(),V2)) -> mark#(U272(isLNatKind(V2)))
     active#(U272(tt())) -> mark#(tt())
     active#(U281(tt(),N)) -> isNaturalKind#(N)
     active#(U281(tt(),N)) -> U282#(isNaturalKind(N),N)
     active#(U281(tt(),N)) -> mark#(U282(isNaturalKind(N),N))
     active#(U282(tt(),N)) -> s#(N)
     active#(U282(tt(),N)) -> natsFrom#(s(N))
     active#(U282(tt(),N)) -> cons#(N,natsFrom(s(N)))
     active#(U282(tt(),N)) -> mark#(cons(N,natsFrom(s(N))))
     active#(U291(tt(),N,XS)) -> isNaturalKind#(N)
     active#(U291(tt(),N,XS)) -> U292#(isNaturalKind(N),N,XS)
     active#(U291(tt(),N,XS)) -> mark#(U292(isNaturalKind(N),N,XS))
     active#(U292(tt(),N,XS)) -> isLNat#(XS)
     active#(U292(tt(),N,XS)) -> U293#(isLNat(XS),N,XS)
     active#(U292(tt(),N,XS)) -> mark#(U293(isLNat(XS),N,XS))
     active#(U293(tt(),N,XS)) -> isLNatKind#(XS)
     active#(U293(tt(),N,XS)) -> U294#(isLNatKind(XS),N,XS)
     active#(U293(tt(),N,XS)) -> mark#(U294(isLNatKind(XS),N,XS))
     active#(U294(tt(),N,XS)) -> afterNth#(N,XS)
     active#(U294(tt(),N,XS)) -> head#(afterNth(N,XS))
     active#(U294(tt(),N,XS)) -> mark#(head(afterNth(N,XS)))
     active#(U301(tt(),X,Y)) -> isLNatKind#(X)
     active#(U301(tt(),X,Y)) -> U302#(isLNatKind(X),Y)
     active#(U301(tt(),X,Y)) -> mark#(U302(isLNatKind(X),Y))
     active#(U302(tt(),Y)) -> isLNat#(Y)
     active#(U302(tt(),Y)) -> U303#(isLNat(Y),Y)
     active#(U302(tt(),Y)) -> mark#(U303(isLNat(Y),Y))
     active#(U303(tt(),Y)) -> isLNatKind#(Y)
     active#(U303(tt(),Y)) -> U304#(isLNatKind(Y),Y)
     active#(U303(tt(),Y)) -> mark#(U304(isLNatKind(Y),Y))
     active#(U304(tt(),Y)) -> mark#(Y)
     active#(U31(tt(),N,XS)) -> isNaturalKind#(N)
     active#(U31(tt(),N,XS)) -> U32#(isNaturalKind(N),N,XS)
     active#(U31(tt(),N,XS)) -> mark#(U32(isNaturalKind(N),N,XS))
     active#(U311(tt(),XS)) -> isLNatKind#(XS)
     active#(U311(tt(),XS)) -> U312#(isLNatKind(XS),XS)
     active#(U311(tt(),XS)) -> mark#(U312(isLNatKind(XS),XS))
     active#(U312(tt(),XS)) -> pair#(nil(),XS)
     active#(U312(tt(),XS)) -> mark#(pair(nil(),XS))
     active#(U32(tt(),N,XS)) -> isLNat#(XS)
     active#(U32(tt(),N,XS)) -> U33#(isLNat(XS),N,XS)
     active#(U32(tt(),N,XS)) -> mark#(U33(isLNat(XS),N,XS))
     active#(U321(tt(),N,X,XS)) -> isNaturalKind#(N)
     active#(U321(tt(),N,X,XS)) -> U322#(isNaturalKind(N),N,X,XS)
     active#(U321(tt(),N,X,XS)) -> mark#(U322(isNaturalKind(N),N,X,XS))
     active#(U322(tt(),N,X,XS)) -> isNatural#(X)
     active#(U322(tt(),N,X,XS)) -> U323#(isNatural(X),N,X,XS)
     active#(U322(tt(),N,X,XS)) -> mark#(U323(isNatural(X),N,X,XS))
     active#(U323(tt(),N,X,XS)) -> isNaturalKind#(X)
     active#(U323(tt(),N,X,XS)) -> U324#(isNaturalKind(X),N,X,XS)
     active#(U323(tt(),N,X,XS)) -> mark#(U324(isNaturalKind(X),N,X,XS))
     active#(U324(tt(),N,X,XS)) -> isLNat#(XS)
     active#(U324(tt(),N,X,XS)) -> U325#(isLNat(XS),N,X,XS)
     active#(U324(tt(),N,X,XS)) -> mark#(U325(isLNat(XS),N,X,XS))
     active#(U325(tt(),N,X,XS)) -> isLNatKind#(XS)
     active#(U325(tt(),N,X,XS)) -> U326#(isLNatKind(XS),N,X,XS)
     active#(U325(tt(),N,X,XS)) -> mark#(U326(isLNatKind(XS),N,X,XS))
     active#(U326(tt(),N,X,XS)) -> splitAt#(N,XS)
     active#(U326(tt(),N,X,XS)) -> U327#(splitAt(N,XS),X)
     active#(U326(tt(),N,X,XS)) -> mark#(U327(splitAt(N,XS),X))
     active#(U327(pair(YS,ZS),X)) -> cons#(X,YS)
     active#(U327(pair(YS,ZS),X)) -> pair#(cons(X,YS),ZS)
     active#(U327(pair(YS,ZS),X)) -> mark#(pair(cons(X,YS),ZS))
     active#(U33(tt(),N,XS)) -> isLNatKind#(XS)
     active#(U33(tt(),N,XS)) -> U34#(isLNatKind(XS),N)
     active#(U33(tt(),N,XS)) -> mark#(U34(isLNatKind(XS),N))
     active#(U331(tt(),N,XS)) -> isNaturalKind#(N)
     active#(U331(tt(),N,XS)) -> U332#(isNaturalKind(N),XS)
     active#(U331(tt(),N,XS)) -> mark#(U332(isNaturalKind(N),XS))
     active#(U332(tt(),XS)) -> isLNat#(XS)
     active#(U332(tt(),XS)) -> U333#(isLNat(XS),XS)
     active#(U332(tt(),XS)) -> mark#(U333(isLNat(XS),XS))
     active#(U333(tt(),XS)) -> isLNatKind#(XS)
     active#(U333(tt(),XS)) -> U334#(isLNatKind(XS),XS)
     active#(U333(tt(),XS)) -> mark#(U334(isLNatKind(XS),XS))
     active#(U334(tt(),XS)) -> mark#(XS)
     active#(U34(tt(),N)) -> mark#(N)
     active#(U341(tt(),N,XS)) -> isNaturalKind#(N)
     active#(U341(tt(),N,XS)) -> U342#(isNaturalKind(N),N,XS)
     active#(U341(tt(),N,XS)) -> mark#(U342(isNaturalKind(N),N,XS))
     active#(U342(tt(),N,XS)) -> isLNat#(XS)
     active#(U342(tt(),N,XS)) -> U343#(isLNat(XS),N,XS)
     active#(U342(tt(),N,XS)) -> mark#(U343(isLNat(XS),N,XS))
     active#(U343(tt(),N,XS)) -> isLNatKind#(XS)
     active#(U343(tt(),N,XS)) -> U344#(isLNatKind(XS),N,XS)
     active#(U343(tt(),N,XS)) -> mark#(U344(isLNatKind(XS),N,XS))
     active#(U344(tt(),N,XS)) -> splitAt#(N,XS)
     active#(U344(tt(),N,XS)) -> fst#(splitAt(N,XS))
     active#(U344(tt(),N,XS)) -> mark#(fst(splitAt(N,XS)))
     active#(U41(tt(),V1,V2)) -> isNaturalKind#(V1)
     active#(U41(tt(),V1,V2)) -> U42#(isNaturalKind(V1),V1,V2)
     active#(U41(tt(),V1,V2)) -> mark#(U42(isNaturalKind(V1),V1,V2))
     active#(U42(tt(),V1,V2)) -> isLNatKind#(V2)
     active#(U42(tt(),V1,V2)) -> U43#(isLNatKind(V2),V1,V2)
     active#(U42(tt(),V1,V2)) -> mark#(U43(isLNatKind(V2),V1,V2))
     active#(U43(tt(),V1,V2)) -> isLNatKind#(V2)
     active#(U43(tt(),V1,V2)) -> U44#(isLNatKind(V2),V1,V2)
     active#(U43(tt(),V1,V2)) -> mark#(U44(isLNatKind(V2),V1,V2))
     active#(U44(tt(),V1,V2)) -> isNatural#(V1)
     active#(U44(tt(),V1,V2)) -> U45#(isNatural(V1),V2)
     active#(U44(tt(),V1,V2)) -> mark#(U45(isNatural(V1),V2))
     active#(U45(tt(),V2)) -> isLNat#(V2)
     active#(U45(tt(),V2)) -> U46#(isLNat(V2))
     active#(U45(tt(),V2)) -> mark#(U46(isLNat(V2)))
     active#(U46(tt())) -> mark#(tt())
     active#(U51(tt(),V1,V2)) -> isNaturalKind#(V1)
     active#(U51(tt(),V1,V2)) -> U52#(isNaturalKind(V1),V1,V2)
     active#(U51(tt(),V1,V2)) -> mark#(U52(isNaturalKind(V1),V1,V2))
     active#(U52(tt(),V1,V2)) -> isLNatKind#(V2)
     active#(U52(tt(),V1,V2)) -> U53#(isLNatKind(V2),V1,V2)
     active#(U52(tt(),V1,V2)) -> mark#(U53(isLNatKind(V2),V1,V2))
     active#(U53(tt(),V1,V2)) -> isLNatKind#(V2)
     active#(U53(tt(),V1,V2)) -> U54#(isLNatKind(V2),V1,V2)
     active#(U53(tt(),V1,V2)) -> mark#(U54(isLNatKind(V2),V1,V2))
     active#(U54(tt(),V1,V2)) -> isNatural#(V1)
     active#(U54(tt(),V1,V2)) -> U55#(isNatural(V1),V2)
     active#(U54(tt(),V1,V2)) -> mark#(U55(isNatural(V1),V2))
     active#(U55(tt(),V2)) -> isLNat#(V2)
     active#(U55(tt(),V2)) -> U56#(isLNat(V2))
     active#(U55(tt(),V2)) -> mark#(U56(isLNat(V2)))
     active#(U56(tt())) -> mark#(tt())
     active#(U61(tt(),V1)) -> isPLNatKind#(V1)
     active#(U61(tt(),V1)) -> U62#(isPLNatKind(V1),V1)
     active#(U61(tt(),V1)) -> mark#(U62(isPLNatKind(V1),V1))
     active#(U62(tt(),V1)) -> isPLNat#(V1)
     active#(U62(tt(),V1)) -> U63#(isPLNat(V1))
     active#(U62(tt(),V1)) -> mark#(U63(isPLNat(V1)))
     active#(U63(tt())) -> mark#(tt())
     active#(U71(tt(),V1)) -> isNaturalKind#(V1)
     active#(U71(tt(),V1)) -> U72#(isNaturalKind(V1),V1)
     active#(U71(tt(),V1)) -> mark#(U72(isNaturalKind(V1),V1))
     active#(U72(tt(),V1)) -> isNatural#(V1)
     active#(U72(tt(),V1)) -> U73#(isNatural(V1))
     active#(U72(tt(),V1)) -> mark#(U73(isNatural(V1)))
     active#(U73(tt())) -> mark#(tt())
     active#(U81(tt(),V1)) -> isPLNatKind#(V1)
     active#(U81(tt(),V1)) -> U82#(isPLNatKind(V1),V1)
     active#(U81(tt(),V1)) -> mark#(U82(isPLNatKind(V1),V1))
     active#(U82(tt(),V1)) -> isPLNat#(V1)
     active#(U82(tt(),V1)) -> U83#(isPLNat(V1))
     active#(U82(tt(),V1)) -> mark#(U83(isPLNat(V1)))
     active#(U83(tt())) -> mark#(tt())
     active#(U91(tt(),V1)) -> isLNatKind#(V1)
     active#(U91(tt(),V1)) -> U92#(isLNatKind(V1),V1)
     active#(U91(tt(),V1)) -> mark#(U92(isLNatKind(V1),V1))
     active#(U92(tt(),V1)) -> isLNat#(V1)
     active#(U92(tt(),V1)) -> U93#(isLNat(V1))
     active#(U92(tt(),V1)) -> mark#(U93(isLNat(V1)))
     active#(U93(tt())) -> mark#(tt())
     active#(afterNth(N,XS)) -> isNatural#(N)
     active#(afterNth(N,XS)) -> U11#(isNatural(N),N,XS)
     active#(afterNth(N,XS)) -> mark#(U11(isNatural(N),N,XS))
     active#(fst(pair(X,Y))) -> isLNat#(X)
     active#(fst(pair(X,Y))) -> U21#(isLNat(X),X,Y)
     active#(fst(pair(X,Y))) -> mark#(U21(isLNat(X),X,Y))
     active#(head(cons(N,XS))) -> isNatural#(N)
     active#(head(cons(N,XS))) -> U31#(isNatural(N),N,XS)
     active#(head(cons(N,XS))) -> mark#(U31(isNatural(N),N,XS))
     active#(isLNat(nil())) -> mark#(tt())
     active#(isLNat(afterNth(V1,V2))) -> isNaturalKind#(V1)
     active#(isLNat(afterNth(V1,V2))) -> U41#(isNaturalKind(V1),V1,V2)
     active#(isLNat(afterNth(V1,V2))) -> mark#(U41(isNaturalKind(V1),V1,V2))
     active#(isLNat(cons(V1,V2))) -> isNaturalKind#(V1)
     active#(isLNat(cons(V1,V2))) -> U51#(isNaturalKind(V1),V1,V2)
     active#(isLNat(cons(V1,V2))) -> mark#(U51(isNaturalKind(V1),V1,V2))
     active#(isLNat(fst(V1))) -> isPLNatKind#(V1)
     active#(isLNat(fst(V1))) -> U61#(isPLNatKind(V1),V1)
     active#(isLNat(fst(V1))) -> mark#(U61(isPLNatKind(V1),V1))
     active#(isLNat(natsFrom(V1))) -> isNaturalKind#(V1)
     active#(isLNat(natsFrom(V1))) -> U71#(isNaturalKind(V1),V1)
     active#(isLNat(natsFrom(V1))) -> mark#(U71(isNaturalKind(V1),V1))
     active#(isLNat(snd(V1))) -> isPLNatKind#(V1)
     active#(isLNat(snd(V1))) -> U81#(isPLNatKind(V1),V1)
     active#(isLNat(snd(V1))) -> mark#(U81(isPLNatKind(V1),V1))
     active#(isLNat(tail(V1))) -> isLNatKind#(V1)
     active#(isLNat(tail(V1))) -> U91#(isLNatKind(V1),V1)
     active#(isLNat(tail(V1))) -> mark#(U91(isLNatKind(V1),V1))
     active#(isLNat(take(V1,V2))) -> isNaturalKind#(V1)
     active#(isLNat(take(V1,V2))) -> U101#(isNaturalKind(V1),V1,V2)
     active#(isLNat(take(V1,V2))) -> mark#(U101(isNaturalKind(V1),V1,V2))
     active#(isLNatKind(nil())) -> mark#(tt())
     active#(isLNatKind(afterNth(V1,V2))) -> isNaturalKind#(V1)
     active#(isLNatKind(afterNth(V1,V2))) -> U111#(isNaturalKind(V1),V2)
     active#(isLNatKind(afterNth(V1,V2))) -> mark#(U111(isNaturalKind(V1),V2))
     active#(isLNatKind(cons(V1,V2))) -> isNaturalKind#(V1)
     active#(isLNatKind(cons(V1,V2))) -> U121#(isNaturalKind(V1),V2)
     active#(isLNatKind(cons(V1,V2))) -> mark#(U121(isNaturalKind(V1),V2))
     active#(isLNatKind(fst(V1))) -> isPLNatKind#(V1)
     active#(isLNatKind(fst(V1))) -> U131#(isPLNatKind(V1))
     active#(isLNatKind(fst(V1))) -> mark#(U131(isPLNatKind(V1)))
     active#(isLNatKind(natsFrom(V1))) -> isNaturalKind#(V1)
     active#(isLNatKind(natsFrom(V1))) -> U141#(isNaturalKind(V1))
     active#(isLNatKind(natsFrom(V1))) -> mark#(U141(isNaturalKind(V1)))
     active#(isLNatKind(snd(V1))) -> isPLNatKind#(V1)
     active#(isLNatKind(snd(V1))) -> U151#(isPLNatKind(V1))
     active#(isLNatKind(snd(V1))) -> mark#(U151(isPLNatKind(V1)))
     active#(isLNatKind(tail(V1))) -> isLNatKind#(V1)
     active#(isLNatKind(tail(V1))) -> U161#(isLNatKind(V1))
     active#(isLNatKind(tail(V1))) -> mark#(U161(isLNatKind(V1)))
     active#(isLNatKind(take(V1,V2))) -> isNaturalKind#(V1)
     active#(isLNatKind(take(V1,V2))) -> U171#(isNaturalKind(V1),V2)
     active#(isLNatKind(take(V1,V2))) -> mark#(U171(isNaturalKind(V1),V2))
     active#(isNatural(0())) -> mark#(tt())
     active#(isNatural(head(V1))) -> isLNatKind#(V1)
     active#(isNatural(head(V1))) -> U181#(isLNatKind(V1),V1)
     active#(isNatural(head(V1))) -> mark#(U181(isLNatKind(V1),V1))
     active#(isNatural(s(V1))) -> isNaturalKind#(V1)
     active#(isNatural(s(V1))) -> U191#(isNaturalKind(V1),V1)
     active#(isNatural(s(V1))) -> mark#(U191(isNaturalKind(V1),V1))
     active#(isNatural(sel(V1,V2))) -> isNaturalKind#(V1)
     active#(isNatural(sel(V1,V2))) -> U201#(isNaturalKind(V1),V1,V2)
     active#(isNatural(sel(V1,V2))) -> mark#(U201(isNaturalKind(V1),V1,V2))
     active#(isNaturalKind(0())) -> mark#(tt())
     active#(isNaturalKind(head(V1))) -> isLNatKind#(V1)
     active#(isNaturalKind(head(V1))) -> U211#(isLNatKind(V1))
     active#(isNaturalKind(head(V1))) -> mark#(U211(isLNatKind(V1)))
     active#(isNaturalKind(s(V1))) -> isNaturalKind#(V1)
     active#(isNaturalKind(s(V1))) -> U221#(isNaturalKind(V1))
     active#(isNaturalKind(s(V1))) -> mark#(U221(isNaturalKind(V1)))
     active#(isNaturalKind(sel(V1,V2))) -> isNaturalKind#(V1)
     active#(isNaturalKind(sel(V1,V2))) -> U231#(isNaturalKind(V1),V2)
     active#(isNaturalKind(sel(V1,V2))) -> mark#(U231(isNaturalKind(V1),V2))
     active#(isPLNat(pair(V1,V2))) -> isLNatKind#(V1)
     active#(isPLNat(pair(V1,V2))) -> U241#(isLNatKind(V1),V1,V2)
     active#(isPLNat(pair(V1,V2))) -> mark#(U241(isLNatKind(V1),V1,V2))
     active#(isPLNat(splitAt(V1,V2))) -> isNaturalKind#(V1)
     active#(isPLNat(splitAt(V1,V2))) -> U251#(isNaturalKind(V1),V1,V2)
     active#(isPLNat(splitAt(V1,V2))) -> mark#(U251(isNaturalKind(V1),V1,V2))
     active#(isPLNatKind(pair(V1,V2))) -> isLNatKind#(V1)
     active#(isPLNatKind(pair(V1,V2))) -> U261#(isLNatKind(V1),V2)
     active#(isPLNatKind(pair(V1,V2))) -> mark#(U261(isLNatKind(V1),V2))
     active#(isPLNatKind(splitAt(V1,V2))) -> isNaturalKind#(V1)
     active#(isPLNatKind(splitAt(V1,V2))) -> U271#(isNaturalKind(V1),V2)
     active#(isPLNatKind(splitAt(V1,V2))) -> mark#(U271(isNaturalKind(V1),V2))
     active#(natsFrom(N)) -> isNatural#(N)
     active#(natsFrom(N)) -> U281#(isNatural(N),N)
     active#(natsFrom(N)) -> mark#(U281(isNatural(N),N))
     active#(sel(N,XS)) -> isNatural#(N)
     active#(sel(N,XS)) -> U291#(isNatural(N),N,XS)
     active#(sel(N,XS)) -> mark#(U291(isNatural(N),N,XS))
     active#(snd(pair(X,Y))) -> isLNat#(X)
     active#(snd(pair(X,Y))) -> U301#(isLNat(X),X,Y)
     active#(snd(pair(X,Y))) -> mark#(U301(isLNat(X),X,Y))
     active#(splitAt(0(),XS)) -> isLNat#(XS)
     active#(splitAt(0(),XS)) -> U311#(isLNat(XS),XS)
     active#(splitAt(0(),XS)) -> mark#(U311(isLNat(XS),XS))
     active#(splitAt(s(N),cons(X,XS))) -> isNatural#(N)
     active#(splitAt(s(N),cons(X,XS))) -> U321#(isNatural(N),N,X,XS)
     active#(splitAt(s(N),cons(X,XS))) -> mark#(U321(isNatural(N),N,X,XS))
     active#(tail(cons(N,XS))) -> isNatural#(N)
     active#(tail(cons(N,XS))) -> U331#(isNatural(N),N,XS)
     active#(tail(cons(N,XS))) -> mark#(U331(isNatural(N),N,XS))
     active#(take(N,XS)) -> isNatural#(N)
     active#(take(N,XS)) -> U341#(isNatural(N),N,XS)
     active#(take(N,XS)) -> mark#(U341(isNatural(N),N,XS))
     mark#(U101(X1,X2,X3)) -> mark#(X1)
     mark#(U101(X1,X2,X3)) -> U101#(mark(X1),X2,X3)
     mark#(U101(X1,X2,X3)) -> active#(U101(mark(X1),X2,X3))
     mark#(tt()) -> active#(tt())
     mark#(U102(X1,X2,X3)) -> mark#(X1)
     mark#(U102(X1,X2,X3)) -> U102#(mark(X1),X2,X3)
     mark#(U102(X1,X2,X3)) -> active#(U102(mark(X1),X2,X3))
     mark#(isNaturalKind(X)) -> active#(isNaturalKind(X))
     mark#(U103(X1,X2,X3)) -> mark#(X1)
     mark#(U103(X1,X2,X3)) -> U103#(mark(X1),X2,X3)
     mark#(U103(X1,X2,X3)) -> active#(U103(mark(X1),X2,X3))
     mark#(isLNatKind(X)) -> active#(isLNatKind(X))
     mark#(U104(X1,X2,X3)) -> mark#(X1)
     mark#(U104(X1,X2,X3)) -> U104#(mark(X1),X2,X3)
     mark#(U104(X1,X2,X3)) -> active#(U104(mark(X1),X2,X3))
     mark#(U105(X1,X2)) -> mark#(X1)
     mark#(U105(X1,X2)) -> U105#(mark(X1),X2)
     mark#(U105(X1,X2)) -> active#(U105(mark(X1),X2))
     mark#(isNatural(X)) -> active#(isNatural(X))
     mark#(U106(X)) -> mark#(X)
     mark#(U106(X)) -> U106#(mark(X))
     mark#(U106(X)) -> active#(U106(mark(X)))
     mark#(isLNat(X)) -> active#(isLNat(X))
     mark#(U11(X1,X2,X3)) -> mark#(X1)
     mark#(U11(X1,X2,X3)) -> U11#(mark(X1),X2,X3)
     mark#(U11(X1,X2,X3)) -> active#(U11(mark(X1),X2,X3))
     mark#(U12(X1,X2,X3)) -> mark#(X1)
     mark#(U12(X1,X2,X3)) -> U12#(mark(X1),X2,X3)
     mark#(U12(X1,X2,X3)) -> active#(U12(mark(X1),X2,X3))
     mark#(U111(X1,X2)) -> mark#(X1)
     mark#(U111(X1,X2)) -> U111#(mark(X1),X2)
     mark#(U111(X1,X2)) -> active#(U111(mark(X1),X2))
     mark#(U112(X)) -> mark#(X)
     mark#(U112(X)) -> U112#(mark(X))
     mark#(U112(X)) -> active#(U112(mark(X)))
     mark#(U13(X1,X2,X3)) -> mark#(X1)
     mark#(U13(X1,X2,X3)) -> U13#(mark(X1),X2,X3)
     mark#(U13(X1,X2,X3)) -> active#(U13(mark(X1),X2,X3))
     mark#(U121(X1,X2)) -> mark#(X1)
     mark#(U121(X1,X2)) -> U121#(mark(X1),X2)
     mark#(U121(X1,X2)) -> active#(U121(mark(X1),X2))
     mark#(U122(X)) -> mark#(X)
     mark#(U122(X)) -> U122#(mark(X))
     mark#(U122(X)) -> active#(U122(mark(X)))
     mark#(U14(X1,X2,X3)) -> mark#(X1)
     mark#(U14(X1,X2,X3)) -> U14#(mark(X1),X2,X3)
     mark#(U14(X1,X2,X3)) -> active#(U14(mark(X1),X2,X3))
     mark#(U131(X)) -> mark#(X)
     mark#(U131(X)) -> U131#(mark(X))
     mark#(U131(X)) -> active#(U131(mark(X)))
     mark#(snd(X)) -> mark#(X)
     mark#(snd(X)) -> snd#(mark(X))
     mark#(snd(X)) -> active#(snd(mark(X)))
     mark#(splitAt(X1,X2)) -> mark#(X2)
     mark#(splitAt(X1,X2)) -> mark#(X1)
     mark#(splitAt(X1,X2)) -> splitAt#(mark(X1),mark(X2))
     mark#(splitAt(X1,X2)) -> active#(splitAt(mark(X1),mark(X2)))
     mark#(U141(X)) -> mark#(X)
     mark#(U141(X)) -> U141#(mark(X))
     mark#(U141(X)) -> active#(U141(mark(X)))
     mark#(U151(X)) -> mark#(X)
     mark#(U151(X)) -> U151#(mark(X))
     mark#(U151(X)) -> active#(U151(mark(X)))
     mark#(U161(X)) -> mark#(X)
     mark#(U161(X)) -> U161#(mark(X))
     mark#(U161(X)) -> active#(U161(mark(X)))
     mark#(U171(X1,X2)) -> mark#(X1)
     mark#(U171(X1,X2)) -> U171#(mark(X1),X2)
     mark#(U171(X1,X2)) -> active#(U171(mark(X1),X2))
     mark#(U172(X)) -> mark#(X)
     mark#(U172(X)) -> U172#(mark(X))
     mark#(U172(X)) -> active#(U172(mark(X)))
     mark#(U181(X1,X2)) -> mark#(X1)
     mark#(U181(X1,X2)) -> U181#(mark(X1),X2)
     mark#(U181(X1,X2)) -> active#(U181(mark(X1),X2))
     mark#(U182(X1,X2)) -> mark#(X1)
     mark#(U182(X1,X2)) -> U182#(mark(X1),X2)
     mark#(U182(X1,X2)) -> active#(U182(mark(X1),X2))
     mark#(U183(X)) -> mark#(X)
     mark#(U183(X)) -> U183#(mark(X))
     mark#(U183(X)) -> active#(U183(mark(X)))
     mark#(U191(X1,X2)) -> mark#(X1)
     mark#(U191(X1,X2)) -> U191#(mark(X1),X2)
     mark#(U191(X1,X2)) -> active#(U191(mark(X1),X2))
     mark#(U192(X1,X2)) -> mark#(X1)
     mark#(U192(X1,X2)) -> U192#(mark(X1),X2)
     mark#(U192(X1,X2)) -> active#(U192(mark(X1),X2))
     mark#(U193(X)) -> mark#(X)
     mark#(U193(X)) -> U193#(mark(X))
     mark#(U193(X)) -> active#(U193(mark(X)))
     mark#(U201(X1,X2,X3)) -> mark#(X1)
     mark#(U201(X1,X2,X3)) -> U201#(mark(X1),X2,X3)
     mark#(U201(X1,X2,X3)) -> active#(U201(mark(X1),X2,X3))
     mark#(U202(X1,X2,X3)) -> mark#(X1)
     mark#(U202(X1,X2,X3)) -> U202#(mark(X1),X2,X3)
     mark#(U202(X1,X2,X3)) -> active#(U202(mark(X1),X2,X3))
     mark#(U203(X1,X2,X3)) -> mark#(X1)
     mark#(U203(X1,X2,X3)) -> U203#(mark(X1),X2,X3)
     mark#(U203(X1,X2,X3)) -> active#(U203(mark(X1),X2,X3))
     mark#(U204(X1,X2,X3)) -> mark#(X1)
     mark#(U204(X1,X2,X3)) -> U204#(mark(X1),X2,X3)
     mark#(U204(X1,X2,X3)) -> active#(U204(mark(X1),X2,X3))
     mark#(U205(X1,X2)) -> mark#(X1)
     mark#(U205(X1,X2)) -> U205#(mark(X1),X2)
     mark#(U205(X1,X2)) -> active#(U205(mark(X1),X2))
     mark#(U206(X)) -> mark#(X)
     mark#(U206(X)) -> U206#(mark(X))
     mark#(U206(X)) -> active#(U206(mark(X)))
     mark#(U21(X1,X2,X3)) -> mark#(X1)
     mark#(U21(X1,X2,X3)) -> U21#(mark(X1),X2,X3)
     mark#(U21(X1,X2,X3)) -> active#(U21(mark(X1),X2,X3))
     mark#(U22(X1,X2,X3)) -> mark#(X1)
     mark#(U22(X1,X2,X3)) -> U22#(mark(X1),X2,X3)
     mark#(U22(X1,X2,X3)) -> active#(U22(mark(X1),X2,X3))
     mark#(U211(X)) -> mark#(X)
     mark#(U211(X)) -> U211#(mark(X))
     mark#(U211(X)) -> active#(U211(mark(X)))
     mark#(U23(X1,X2,X3)) -> mark#(X1)
     mark#(U23(X1,X2,X3)) -> U23#(mark(X1),X2,X3)
     mark#(U23(X1,X2,X3)) -> active#(U23(mark(X1),X2,X3))
     mark#(U221(X)) -> mark#(X)
     mark#(U221(X)) -> U221#(mark(X))
     mark#(U221(X)) -> active#(U221(mark(X)))
     mark#(U24(X1,X2)) -> mark#(X1)
     mark#(U24(X1,X2)) -> U24#(mark(X1),X2)
     mark#(U24(X1,X2)) -> active#(U24(mark(X1),X2))
     mark#(U231(X1,X2)) -> mark#(X1)
     mark#(U231(X1,X2)) -> U231#(mark(X1),X2)
     mark#(U231(X1,X2)) -> active#(U231(mark(X1),X2))
     mark#(U232(X)) -> mark#(X)
     mark#(U232(X)) -> U232#(mark(X))
     mark#(U232(X)) -> active#(U232(mark(X)))
     mark#(U241(X1,X2,X3)) -> mark#(X1)
     mark#(U241(X1,X2,X3)) -> U241#(mark(X1),X2,X3)
     mark#(U241(X1,X2,X3)) -> active#(U241(mark(X1),X2,X3))
     mark#(U242(X1,X2,X3)) -> mark#(X1)
     mark#(U242(X1,X2,X3)) -> U242#(mark(X1),X2,X3)
     mark#(U242(X1,X2,X3)) -> active#(U242(mark(X1),X2,X3))
     mark#(U243(X1,X2,X3)) -> mark#(X1)
     mark#(U243(X1,X2,X3)) -> U243#(mark(X1),X2,X3)
     mark#(U243(X1,X2,X3)) -> active#(U243(mark(X1),X2,X3))
     mark#(U244(X1,X2,X3)) -> mark#(X1)
     mark#(U244(X1,X2,X3)) -> U244#(mark(X1),X2,X3)
     mark#(U244(X1,X2,X3)) -> active#(U244(mark(X1),X2,X3))
     mark#(U245(X1,X2)) -> mark#(X1)
     mark#(U245(X1,X2)) -> U245#(mark(X1),X2)
     mark#(U245(X1,X2)) -> active#(U245(mark(X1),X2))
     mark#(U246(X)) -> mark#(X)
     mark#(U246(X)) -> U246#(mark(X))
     mark#(U246(X)) -> active#(U246(mark(X)))
     mark#(U251(X1,X2,X3)) -> mark#(X1)
     mark#(U251(X1,X2,X3)) -> U251#(mark(X1),X2,X3)
     mark#(U251(X1,X2,X3)) -> active#(U251(mark(X1),X2,X3))
     mark#(U252(X1,X2,X3)) -> mark#(X1)
     mark#(U252(X1,X2,X3)) -> U252#(mark(X1),X2,X3)
     mark#(U252(X1,X2,X3)) -> active#(U252(mark(X1),X2,X3))
     mark#(U253(X1,X2,X3)) -> mark#(X1)
     mark#(U253(X1,X2,X3)) -> U253#(mark(X1),X2,X3)
     mark#(U253(X1,X2,X3)) -> active#(U253(mark(X1),X2,X3))
     mark#(U254(X1,X2,X3)) -> mark#(X1)
     mark#(U254(X1,X2,X3)) -> U254#(mark(X1),X2,X3)
     mark#(U254(X1,X2,X3)) -> active#(U254(mark(X1),X2,X3))
     mark#(U255(X1,X2)) -> mark#(X1)
     mark#(U255(X1,X2)) -> U255#(mark(X1),X2)
     mark#(U255(X1,X2)) -> active#(U255(mark(X1),X2))
     mark#(U256(X)) -> mark#(X)
     mark#(U256(X)) -> U256#(mark(X))
     mark#(U256(X)) -> active#(U256(mark(X)))
     mark#(U261(X1,X2)) -> mark#(X1)
     mark#(U261(X1,X2)) -> U261#(mark(X1),X2)
     mark#(U261(X1,X2)) -> active#(U261(mark(X1),X2))
     mark#(U262(X)) -> mark#(X)
     mark#(U262(X)) -> U262#(mark(X))
     mark#(U262(X)) -> active#(U262(mark(X)))
     mark#(U271(X1,X2)) -> mark#(X1)
     mark#(U271(X1,X2)) -> U271#(mark(X1),X2)
     mark#(U271(X1,X2)) -> active#(U271(mark(X1),X2))
     mark#(U272(X)) -> mark#(X)
     mark#(U272(X)) -> U272#(mark(X))
     mark#(U272(X)) -> active#(U272(mark(X)))
     mark#(U281(X1,X2)) -> mark#(X1)
     mark#(U281(X1,X2)) -> U281#(mark(X1),X2)
     mark#(U281(X1,X2)) -> active#(U281(mark(X1),X2))
     mark#(U282(X1,X2)) -> mark#(X1)
     mark#(U282(X1,X2)) -> U282#(mark(X1),X2)
     mark#(U282(X1,X2)) -> active#(U282(mark(X1),X2))
     mark#(cons(X1,X2)) -> mark#(X1)
     mark#(cons(X1,X2)) -> cons#(mark(X1),X2)
     mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2))
     mark#(natsFrom(X)) -> mark#(X)
     mark#(natsFrom(X)) -> natsFrom#(mark(X))
     mark#(natsFrom(X)) -> active#(natsFrom(mark(X)))
     mark#(s(X)) -> mark#(X)
     mark#(s(X)) -> s#(mark(X))
     mark#(s(X)) -> active#(s(mark(X)))
     mark#(U291(X1,X2,X3)) -> mark#(X1)
     mark#(U291(X1,X2,X3)) -> U291#(mark(X1),X2,X3)
     mark#(U291(X1,X2,X3)) -> active#(U291(mark(X1),X2,X3))
     mark#(U292(X1,X2,X3)) -> mark#(X1)
     mark#(U292(X1,X2,X3)) -> U292#(mark(X1),X2,X3)
     mark#(U292(X1,X2,X3)) -> active#(U292(mark(X1),X2,X3))
     mark#(U293(X1,X2,X3)) -> mark#(X1)
     mark#(U293(X1,X2,X3)) -> U293#(mark(X1),X2,X3)
     mark#(U293(X1,X2,X3)) -> active#(U293(mark(X1),X2,X3))
     mark#(U294(X1,X2,X3)) -> mark#(X1)
     mark#(U294(X1,X2,X3)) -> U294#(mark(X1),X2,X3)
     mark#(U294(X1,X2,X3)) -> active#(U294(mark(X1),X2,X3))
     mark#(head(X)) -> mark#(X)
     mark#(head(X)) -> head#(mark(X))
     mark#(head(X)) -> active#(head(mark(X)))
     mark#(afterNth(X1,X2)) -> mark#(X2)
     mark#(afterNth(X1,X2)) -> mark#(X1)
     mark#(afterNth(X1,X2)) -> afterNth#(mark(X1),mark(X2))
     mark#(afterNth(X1,X2)) -> active#(afterNth(mark(X1),mark(X2)))
     mark#(U301(X1,X2,X3)) -> mark#(X1)
     mark#(U301(X1,X2,X3)) -> U301#(mark(X1),X2,X3)
     mark#(U301(X1,X2,X3)) -> active#(U301(mark(X1),X2,X3))
     mark#(U302(X1,X2)) -> mark#(X1)
     mark#(U302(X1,X2)) -> U302#(mark(X1),X2)
     mark#(U302(X1,X2)) -> active#(U302(mark(X1),X2))
     mark#(U303(X1,X2)) -> mark#(X1)
     mark#(U303(X1,X2)) -> U303#(mark(X1),X2)
     mark#(U303(X1,X2)) -> active#(U303(mark(X1),X2))
     mark#(U304(X1,X2)) -> mark#(X1)
     mark#(U304(X1,X2)) -> U304#(mark(X1),X2)
     mark#(U304(X1,X2)) -> active#(U304(mark(X1),X2))
     mark#(U31(X1,X2,X3)) -> mark#(X1)
     mark#(U31(X1,X2,X3)) -> U31#(mark(X1),X2,X3)
     mark#(U31(X1,X2,X3)) -> active#(U31(mark(X1),X2,X3))
     mark#(U32(X1,X2,X3)) -> mark#(X1)
     mark#(U32(X1,X2,X3)) -> U32#(mark(X1),X2,X3)
     mark#(U32(X1,X2,X3)) -> active#(U32(mark(X1),X2,X3))
     mark#(U311(X1,X2)) -> mark#(X1)
     mark#(U311(X1,X2)) -> U311#(mark(X1),X2)
     mark#(U311(X1,X2)) -> active#(U311(mark(X1),X2))
     mark#(U312(X1,X2)) -> mark#(X1)
     mark#(U312(X1,X2)) -> U312#(mark(X1),X2)
     mark#(U312(X1,X2)) -> active#(U312(mark(X1),X2))
     mark#(pair(X1,X2)) -> mark#(X2)
     mark#(pair(X1,X2)) -> mark#(X1)
     mark#(pair(X1,X2)) -> pair#(mark(X1),mark(X2))
     mark#(pair(X1,X2)) -> active#(pair(mark(X1),mark(X2)))
     mark#(nil()) -> active#(nil())
     mark#(U33(X1,X2,X3)) -> mark#(X1)
     mark#(U33(X1,X2,X3)) -> U33#(mark(X1),X2,X3)
     mark#(U33(X1,X2,X3)) -> active#(U33(mark(X1),X2,X3))
     mark#(U321(X1,X2,X3,X4)) -> mark#(X1)
     mark#(U321(X1,X2,X3,X4)) -> U321#(mark(X1),X2,X3,X4)
     mark#(U321(X1,X2,X3,X4)) -> active#(U321(mark(X1),X2,X3,X4))
     mark#(U322(X1,X2,X3,X4)) -> mark#(X1)
     mark#(U322(X1,X2,X3,X4)) -> U322#(mark(X1),X2,X3,X4)
     mark#(U322(X1,X2,X3,X4)) -> active#(U322(mark(X1),X2,X3,X4))
     mark#(U323(X1,X2,X3,X4)) -> mark#(X1)
     mark#(U323(X1,X2,X3,X4)) -> U323#(mark(X1),X2,X3,X4)
     mark#(U323(X1,X2,X3,X4)) -> active#(U323(mark(X1),X2,X3,X4))
     mark#(U324(X1,X2,X3,X4)) -> mark#(X1)
     mark#(U324(X1,X2,X3,X4)) -> U324#(mark(X1),X2,X3,X4)
     mark#(U324(X1,X2,X3,X4)) -> active#(U324(mark(X1),X2,X3,X4))
     mark#(U325(X1,X2,X3,X4)) -> mark#(X1)
     mark#(U325(X1,X2,X3,X4)) -> U325#(mark(X1),X2,X3,X4)
     mark#(U325(X1,X2,X3,X4)) -> active#(U325(mark(X1),X2,X3,X4))
     mark#(U326(X1,X2,X3,X4)) -> mark#(X1)
     mark#(U326(X1,X2,X3,X4)) -> U326#(mark(X1),X2,X3,X4)
     mark#(U326(X1,X2,X3,X4)) -> active#(U326(mark(X1),X2,X3,X4))
     mark#(U327(X1,X2)) -> mark#(X1)
     mark#(U327(X1,X2)) -> U327#(mark(X1),X2)
     mark#(U327(X1,X2)) -> active#(U327(mark(X1),X2))
     mark#(U34(X1,X2)) -> mark#(X1)
     mark#(U34(X1,X2)) -> U34#(mark(X1),X2)
     mark#(U34(X1,X2)) -> active#(U34(mark(X1),X2))
     mark#(U331(X1,X2,X3)) -> mark#(X1)
     mark#(U331(X1,X2,X3)) -> U331#(mark(X1),X2,X3)
     mark#(U331(X1,X2,X3)) -> active#(U331(mark(X1),X2,X3))
     mark#(U332(X1,X2)) -> mark#(X1)
     mark#(U332(X1,X2)) -> U332#(mark(X1),X2)
     mark#(U332(X1,X2)) -> active#(U332(mark(X1),X2))
     mark#(U333(X1,X2)) -> mark#(X1)
     mark#(U333(X1,X2)) -> U333#(mark(X1),X2)
     mark#(U333(X1,X2)) -> active#(U333(mark(X1),X2))
     mark#(U334(X1,X2)) -> mark#(X1)
     mark#(U334(X1,X2)) -> U334#(mark(X1),X2)
     mark#(U334(X1,X2)) -> active#(U334(mark(X1),X2))
     mark#(U341(X1,X2,X3)) -> mark#(X1)
     mark#(U341(X1,X2,X3)) -> U341#(mark(X1),X2,X3)
     mark#(U341(X1,X2,X3)) -> active#(U341(mark(X1),X2,X3))
     mark#(U342(X1,X2,X3)) -> mark#(X1)
     mark#(U342(X1,X2,X3)) -> U342#(mark(X1),X2,X3)
     mark#(U342(X1,X2,X3)) -> active#(U342(mark(X1),X2,X3))
     mark#(U343(X1,X2,X3)) -> mark#(X1)
     mark#(U343(X1,X2,X3)) -> U343#(mark(X1),X2,X3)
     mark#(U343(X1,X2,X3)) -> active#(U343(mark(X1),X2,X3))
     mark#(U344(X1,X2,X3)) -> mark#(X1)
     mark#(U344(X1,X2,X3)) -> U344#(mark(X1),X2,X3)
     mark#(U344(X1,X2,X3)) -> active#(U344(mark(X1),X2,X3))
     mark#(fst(X)) -> mark#(X)
     mark#(fst(X)) -> fst#(mark(X))
     mark#(fst(X)) -> active#(fst(mark(X)))
     mark#(U41(X1,X2,X3)) -> mark#(X1)
     mark#(U41(X1,X2,X3)) -> U41#(mark(X1),X2,X3)
     mark#(U41(X1,X2,X3)) -> active#(U41(mark(X1),X2,X3))
     mark#(U42(X1,X2,X3)) -> mark#(X1)
     mark#(U42(X1,X2,X3)) -> U42#(mark(X1),X2,X3)
     mark#(U42(X1,X2,X3)) -> active#(U42(mark(X1),X2,X3))
     mark#(U43(X1,X2,X3)) -> mark#(X1)
     mark#(U43(X1,X2,X3)) -> U43#(mark(X1),X2,X3)
     mark#(U43(X1,X2,X3)) -> active#(U43(mark(X1),X2,X3))
     mark#(U44(X1,X2,X3)) -> mark#(X1)
     mark#(U44(X1,X2,X3)) -> U44#(mark(X1),X2,X3)
     mark#(U44(X1,X2,X3)) -> active#(U44(mark(X1),X2,X3))
     mark#(U45(X1,X2)) -> mark#(X1)
     mark#(U45(X1,X2)) -> U45#(mark(X1),X2)
     mark#(U45(X1,X2)) -> active#(U45(mark(X1),X2))
     mark#(U46(X)) -> mark#(X)
     mark#(U46(X)) -> U46#(mark(X))
     mark#(U46(X)) -> active#(U46(mark(X)))
     mark#(U51(X1,X2,X3)) -> mark#(X1)
     mark#(U51(X1,X2,X3)) -> U51#(mark(X1),X2,X3)
     mark#(U51(X1,X2,X3)) -> active#(U51(mark(X1),X2,X3))
     mark#(U52(X1,X2,X3)) -> mark#(X1)
     mark#(U52(X1,X2,X3)) -> U52#(mark(X1),X2,X3)
     mark#(U52(X1,X2,X3)) -> active#(U52(mark(X1),X2,X3))
     mark#(U53(X1,X2,X3)) -> mark#(X1)
     mark#(U53(X1,X2,X3)) -> U53#(mark(X1),X2,X3)
     mark#(U53(X1,X2,X3)) -> active#(U53(mark(X1),X2,X3))
     mark#(U54(X1,X2,X3)) -> mark#(X1)
     mark#(U54(X1,X2,X3)) -> U54#(mark(X1),X2,X3)
     mark#(U54(X1,X2,X3)) -> active#(U54(mark(X1),X2,X3))
     mark#(U55(X1,X2)) -> mark#(X1)
     mark#(U55(X1,X2)) -> U55#(mark(X1),X2)
     mark#(U55(X1,X2)) -> active#(U55(mark(X1),X2))
     mark#(U56(X)) -> mark#(X)
     mark#(U56(X)) -> U56#(mark(X))
     mark#(U56(X)) -> active#(U56(mark(X)))
     mark#(U61(X1,X2)) -> mark#(X1)
     mark#(U61(X1,X2)) -> U61#(mark(X1),X2)
     mark#(U61(X1,X2)) -> active#(U61(mark(X1),X2))
     mark#(U62(X1,X2)) -> mark#(X1)
     mark#(U62(X1,X2)) -> U62#(mark(X1),X2)
     mark#(U62(X1,X2)) -> active#(U62(mark(X1),X2))
     mark#(isPLNatKind(X)) -> active#(isPLNatKind(X))
     mark#(U63(X)) -> mark#(X)
     mark#(U63(X)) -> U63#(mark(X))
     mark#(U63(X)) -> active#(U63(mark(X)))
     mark#(isPLNat(X)) -> active#(isPLNat(X))
     mark#(U71(X1,X2)) -> mark#(X1)
     mark#(U71(X1,X2)) -> U71#(mark(X1),X2)
     mark#(U71(X1,X2)) -> active#(U71(mark(X1),X2))
     mark#(U72(X1,X2)) -> mark#(X1)
     mark#(U72(X1,X2)) -> U72#(mark(X1),X2)
     mark#(U72(X1,X2)) -> active#(U72(mark(X1),X2))
     mark#(U73(X)) -> mark#(X)
     mark#(U73(X)) -> U73#(mark(X))
     mark#(U73(X)) -> active#(U73(mark(X)))
     mark#(U81(X1,X2)) -> mark#(X1)
     mark#(U81(X1,X2)) -> U81#(mark(X1),X2)
     mark#(U81(X1,X2)) -> active#(U81(mark(X1),X2))
     mark#(U82(X1,X2)) -> mark#(X1)
     mark#(U82(X1,X2)) -> U82#(mark(X1),X2)
     mark#(U82(X1,X2)) -> active#(U82(mark(X1),X2))
     mark#(U83(X)) -> mark#(X)
     mark#(U83(X)) -> U83#(mark(X))
     mark#(U83(X)) -> active#(U83(mark(X)))
     mark#(U91(X1,X2)) -> mark#(X1)
     mark#(U91(X1,X2)) -> U91#(mark(X1),X2)
     mark#(U91(X1,X2)) -> active#(U91(mark(X1),X2))
     mark#(U92(X1,X2)) -> mark#(X1)
     mark#(U92(X1,X2)) -> U92#(mark(X1),X2)
     mark#(U92(X1,X2)) -> active#(U92(mark(X1),X2))
     mark#(U93(X)) -> mark#(X)
     mark#(U93(X)) -> U93#(mark(X))
     mark#(U93(X)) -> active#(U93(mark(X)))
     mark#(tail(X)) -> mark#(X)
     mark#(tail(X)) -> tail#(mark(X))
     mark#(tail(X)) -> active#(tail(mark(X)))
     mark#(take(X1,X2)) -> mark#(X2)
     mark#(take(X1,X2)) -> mark#(X1)
     mark#(take(X1,X2)) -> take#(mark(X1),mark(X2))
     mark#(take(X1,X2)) -> active#(take(mark(X1),mark(X2)))
     mark#(0()) -> active#(0())
     mark#(sel(X1,X2)) -> mark#(X2)
     mark#(sel(X1,X2)) -> mark#(X1)
     mark#(sel(X1,X2)) -> sel#(mark(X1),mark(X2))
     mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2)))
     U101#(mark(X1),X2,X3) -> U101#(X1,X2,X3)
     U101#(X1,mark(X2),X3) -> U101#(X1,X2,X3)
     U101#(X1,X2,mark(X3)) -> U101#(X1,X2,X3)
     U101#(active(X1),X2,X3) -> U101#(X1,X2,X3)
     U101#(X1,active(X2),X3) -> U101#(X1,X2,X3)
     U101#(X1,X2,active(X3)) -> U101#(X1,X2,X3)
     U102#(mark(X1),X2,X3) -> U102#(X1,X2,X3)
     U102#(X1,mark(X2),X3) -> U102#(X1,X2,X3)
     U102#(X1,X2,mark(X3)) -> U102#(X1,X2,X3)
     U102#(active(X1),X2,X3) -> U102#(X1,X2,X3)
     U102#(X1,active(X2),X3) -> U102#(X1,X2,X3)
     U102#(X1,X2,active(X3)) -> U102#(X1,X2,X3)
     isNaturalKind#(mark(X)) -> isNaturalKind#(X)
     isNaturalKind#(active(X)) -> isNaturalKind#(X)
     U103#(mark(X1),X2,X3) -> U103#(X1,X2,X3)
     U103#(X1,mark(X2),X3) -> U103#(X1,X2,X3)
     U103#(X1,X2,mark(X3)) -> U103#(X1,X2,X3)
     U103#(active(X1),X2,X3) -> U103#(X1,X2,X3)
     U103#(X1,active(X2),X3) -> U103#(X1,X2,X3)
     U103#(X1,X2,active(X3)) -> U103#(X1,X2,X3)
     isLNatKind#(mark(X)) -> isLNatKind#(X)
     isLNatKind#(active(X)) -> isLNatKind#(X)
     U104#(mark(X1),X2,X3) -> U104#(X1,X2,X3)
     U104#(X1,mark(X2),X3) -> U104#(X1,X2,X3)
     U104#(X1,X2,mark(X3)) -> U104#(X1,X2,X3)
     U104#(active(X1),X2,X3) -> U104#(X1,X2,X3)
     U104#(X1,active(X2),X3) -> U104#(X1,X2,X3)
     U104#(X1,X2,active(X3)) -> U104#(X1,X2,X3)
     U105#(mark(X1),X2) -> U105#(X1,X2)
     U105#(X1,mark(X2)) -> U105#(X1,X2)
     U105#(active(X1),X2) -> U105#(X1,X2)
     U105#(X1,active(X2)) -> U105#(X1,X2)
     isNatural#(mark(X)) -> isNatural#(X)
     isNatural#(active(X)) -> isNatural#(X)
     U106#(mark(X)) -> U106#(X)
     U106#(active(X)) -> U106#(X)
     isLNat#(mark(X)) -> isLNat#(X)
     isLNat#(active(X)) -> isLNat#(X)
     U11#(mark(X1),X2,X3) -> U11#(X1,X2,X3)
     U11#(X1,mark(X2),X3) -> U11#(X1,X2,X3)
     U11#(X1,X2,mark(X3)) -> U11#(X1,X2,X3)
     U11#(active(X1),X2,X3) -> U11#(X1,X2,X3)
     U11#(X1,active(X2),X3) -> U11#(X1,X2,X3)
     U11#(X1,X2,active(X3)) -> U11#(X1,X2,X3)
     U12#(mark(X1),X2,X3) -> U12#(X1,X2,X3)
     U12#(X1,mark(X2),X3) -> U12#(X1,X2,X3)
     U12#(X1,X2,mark(X3)) -> U12#(X1,X2,X3)
     U12#(active(X1),X2,X3) -> U12#(X1,X2,X3)
     U12#(X1,active(X2),X3) -> U12#(X1,X2,X3)
     U12#(X1,X2,active(X3)) -> U12#(X1,X2,X3)
     U111#(mark(X1),X2) -> U111#(X1,X2)
     U111#(X1,mark(X2)) -> U111#(X1,X2)
     U111#(active(X1),X2) -> U111#(X1,X2)
     U111#(X1,active(X2)) -> U111#(X1,X2)
     U112#(mark(X)) -> U112#(X)
     U112#(active(X)) -> U112#(X)
     U13#(mark(X1),X2,X3) -> U13#(X1,X2,X3)
     U13#(X1,mark(X2),X3) -> U13#(X1,X2,X3)
     U13#(X1,X2,mark(X3)) -> U13#(X1,X2,X3)
     U13#(active(X1),X2,X3) -> U13#(X1,X2,X3)
     U13#(X1,active(X2),X3) -> U13#(X1,X2,X3)
     U13#(X1,X2,active(X3)) -> U13#(X1,X2,X3)
     U121#(mark(X1),X2) -> U121#(X1,X2)
     U121#(X1,mark(X2)) -> U121#(X1,X2)
     U121#(active(X1),X2) -> U121#(X1,X2)
     U121#(X1,active(X2)) -> U121#(X1,X2)
     U122#(mark(X)) -> U122#(X)
     U122#(active(X)) -> U122#(X)
     U14#(mark(X1),X2,X3) -> U14#(X1,X2,X3)
     U14#(X1,mark(X2),X3) -> U14#(X1,X2,X3)
     U14#(X1,X2,mark(X3)) -> U14#(X1,X2,X3)
     U14#(active(X1),X2,X3) -> U14#(X1,X2,X3)
     U14#(X1,active(X2),X3) -> U14#(X1,X2,X3)
     U14#(X1,X2,active(X3)) -> U14#(X1,X2,X3)
     U131#(mark(X)) -> U131#(X)
     U131#(active(X)) -> U131#(X)
     snd#(mark(X)) -> snd#(X)
     snd#(active(X)) -> snd#(X)
     splitAt#(mark(X1),X2) -> splitAt#(X1,X2)
     splitAt#(X1,mark(X2)) -> splitAt#(X1,X2)
     splitAt#(active(X1),X2) -> splitAt#(X1,X2)
     splitAt#(X1,active(X2)) -> splitAt#(X1,X2)
     U141#(mark(X)) -> U141#(X)
     U141#(active(X)) -> U141#(X)
     U151#(mark(X)) -> U151#(X)
     U151#(active(X)) -> U151#(X)
     U161#(mark(X)) -> U161#(X)
     U161#(active(X)) -> U161#(X)
     U171#(mark(X1),X2) -> U171#(X1,X2)
     U171#(X1,mark(X2)) -> U171#(X1,X2)
     U171#(active(X1),X2) -> U171#(X1,X2)
     U171#(X1,active(X2)) -> U171#(X1,X2)
     U172#(mark(X)) -> U172#(X)
     U172#(active(X)) -> U172#(X)
     U181#(mark(X1),X2) -> U181#(X1,X2)
     U181#(X1,mark(X2)) -> U181#(X1,X2)
     U181#(active(X1),X2) -> U181#(X1,X2)
     U181#(X1,active(X2)) -> U181#(X1,X2)
     U182#(mark(X1),X2) -> U182#(X1,X2)
     U182#(X1,mark(X2)) -> U182#(X1,X2)
     U182#(active(X1),X2) -> U182#(X1,X2)
     U182#(X1,active(X2)) -> U182#(X1,X2)
     U183#(mark(X)) -> U183#(X)
     U183#(active(X)) -> U183#(X)
     U191#(mark(X1),X2) -> U191#(X1,X2)
     U191#(X1,mark(X2)) -> U191#(X1,X2)
     U191#(active(X1),X2) -> U191#(X1,X2)
     U191#(X1,active(X2)) -> U191#(X1,X2)
     U192#(mark(X1),X2) -> U192#(X1,X2)
     U192#(X1,mark(X2)) -> U192#(X1,X2)
     U192#(active(X1),X2) -> U192#(X1,X2)
     U192#(X1,active(X2)) -> U192#(X1,X2)
     U193#(mark(X)) -> U193#(X)
     U193#(active(X)) -> U193#(X)
     U201#(mark(X1),X2,X3) -> U201#(X1,X2,X3)
     U201#(X1,mark(X2),X3) -> U201#(X1,X2,X3)
     U201#(X1,X2,mark(X3)) -> U201#(X1,X2,X3)
     U201#(active(X1),X2,X3) -> U201#(X1,X2,X3)
     U201#(X1,active(X2),X3) -> U201#(X1,X2,X3)
     U201#(X1,X2,active(X3)) -> U201#(X1,X2,X3)
     U202#(mark(X1),X2,X3) -> U202#(X1,X2,X3)
     U202#(X1,mark(X2),X3) -> U202#(X1,X2,X3)
     U202#(X1,X2,mark(X3)) -> U202#(X1,X2,X3)
     U202#(active(X1),X2,X3) -> U202#(X1,X2,X3)
     U202#(X1,active(X2),X3) -> U202#(X1,X2,X3)
     U202#(X1,X2,active(X3)) -> U202#(X1,X2,X3)
     U203#(mark(X1),X2,X3) -> U203#(X1,X2,X3)
     U203#(X1,mark(X2),X3) -> U203#(X1,X2,X3)
     U203#(X1,X2,mark(X3)) -> U203#(X1,X2,X3)
     U203#(active(X1),X2,X3) -> U203#(X1,X2,X3)
     U203#(X1,active(X2),X3) -> U203#(X1,X2,X3)
     U203#(X1,X2,active(X3)) -> U203#(X1,X2,X3)
     U204#(mark(X1),X2,X3) -> U204#(X1,X2,X3)
     U204#(X1,mark(X2),X3) -> U204#(X1,X2,X3)
     U204#(X1,X2,mark(X3)) -> U204#(X1,X2,X3)
     U204#(active(X1),X2,X3) -> U204#(X1,X2,X3)
     U204#(X1,active(X2),X3) -> U204#(X1,X2,X3)
     U204#(X1,X2,active(X3)) -> U204#(X1,X2,X3)
     U205#(mark(X1),X2) -> U205#(X1,X2)
     U205#(X1,mark(X2)) -> U205#(X1,X2)
     U205#(active(X1),X2) -> U205#(X1,X2)
     U205#(X1,active(X2)) -> U205#(X1,X2)
     U206#(mark(X)) -> U206#(X)
     U206#(active(X)) -> U206#(X)
     U21#(mark(X1),X2,X3) -> U21#(X1,X2,X3)
     U21#(X1,mark(X2),X3) -> U21#(X1,X2,X3)
     U21#(X1,X2,mark(X3)) -> U21#(X1,X2,X3)
     U21#(active(X1),X2,X3) -> U21#(X1,X2,X3)
     U21#(X1,active(X2),X3) -> U21#(X1,X2,X3)
     U21#(X1,X2,active(X3)) -> U21#(X1,X2,X3)
     U22#(mark(X1),X2,X3) -> U22#(X1,X2,X3)
     U22#(X1,mark(X2),X3) -> U22#(X1,X2,X3)
     U22#(X1,X2,mark(X3)) -> U22#(X1,X2,X3)
     U22#(active(X1),X2,X3) -> U22#(X1,X2,X3)
     U22#(X1,active(X2),X3) -> U22#(X1,X2,X3)
     U22#(X1,X2,active(X3)) -> U22#(X1,X2,X3)
     U211#(mark(X)) -> U211#(X)
     U211#(active(X)) -> U211#(X)
     U23#(mark(X1),X2,X3) -> U23#(X1,X2,X3)
     U23#(X1,mark(X2),X3) -> U23#(X1,X2,X3)
     U23#(X1,X2,mark(X3)) -> U23#(X1,X2,X3)
     U23#(active(X1),X2,X3) -> U23#(X1,X2,X3)
     U23#(X1,active(X2),X3) -> U23#(X1,X2,X3)
     U23#(X1,X2,active(X3)) -> U23#(X1,X2,X3)
     U221#(mark(X)) -> U221#(X)
     U221#(active(X)) -> U221#(X)
     U24#(mark(X1),X2) -> U24#(X1,X2)
     U24#(X1,mark(X2)) -> U24#(X1,X2)
     U24#(active(X1),X2) -> U24#(X1,X2)
     U24#(X1,active(X2)) -> U24#(X1,X2)
     U231#(mark(X1),X2) -> U231#(X1,X2)
     U231#(X1,mark(X2)) -> U231#(X1,X2)
     U231#(active(X1),X2) -> U231#(X1,X2)
     U231#(X1,active(X2)) -> U231#(X1,X2)
     U232#(mark(X)) -> U232#(X)
     U232#(active(X)) -> U232#(X)
     U241#(mark(X1),X2,X3) -> U241#(X1,X2,X3)
     U241#(X1,mark(X2),X3) -> U241#(X1,X2,X3)
     U241#(X1,X2,mark(X3)) -> U241#(X1,X2,X3)
     U241#(active(X1),X2,X3) -> U241#(X1,X2,X3)
     U241#(X1,active(X2),X3) -> U241#(X1,X2,X3)
     U241#(X1,X2,active(X3)) -> U241#(X1,X2,X3)
     U242#(mark(X1),X2,X3) -> U242#(X1,X2,X3)
     U242#(X1,mark(X2),X3) -> U242#(X1,X2,X3)
     U242#(X1,X2,mark(X3)) -> U242#(X1,X2,X3)
     U242#(active(X1),X2,X3) -> U242#(X1,X2,X3)
     U242#(X1,active(X2),X3) -> U242#(X1,X2,X3)
     U242#(X1,X2,active(X3)) -> U242#(X1,X2,X3)
     U243#(mark(X1),X2,X3) -> U243#(X1,X2,X3)
     U243#(X1,mark(X2),X3) -> U243#(X1,X2,X3)
     U243#(X1,X2,mark(X3)) -> U243#(X1,X2,X3)
     U243#(active(X1),X2,X3) -> U243#(X1,X2,X3)
     U243#(X1,active(X2),X3) -> U243#(X1,X2,X3)
     U243#(X1,X2,active(X3)) -> U243#(X1,X2,X3)
     U244#(mark(X1),X2,X3) -> U244#(X1,X2,X3)
     U244#(X1,mark(X2),X3) -> U244#(X1,X2,X3)
     U244#(X1,X2,mark(X3)) -> U244#(X1,X2,X3)
     U244#(active(X1),X2,X3) -> U244#(X1,X2,X3)
     U244#(X1,active(X2),X3) -> U244#(X1,X2,X3)
     U244#(X1,X2,active(X3)) -> U244#(X1,X2,X3)
     U245#(mark(X1),X2) -> U245#(X1,X2)
     U245#(X1,mark(X2)) -> U245#(X1,X2)
     U245#(active(X1),X2) -> U245#(X1,X2)
     U245#(X1,active(X2)) -> U245#(X1,X2)
     U246#(mark(X)) -> U246#(X)
     U246#(active(X)) -> U246#(X)
     U251#(mark(X1),X2,X3) -> U251#(X1,X2,X3)
     U251#(X1,mark(X2),X3) -> U251#(X1,X2,X3)
     U251#(X1,X2,mark(X3)) -> U251#(X1,X2,X3)
     U251#(active(X1),X2,X3) -> U251#(X1,X2,X3)
     U251#(X1,active(X2),X3) -> U251#(X1,X2,X3)
     U251#(X1,X2,active(X3)) -> U251#(X1,X2,X3)
     U252#(mark(X1),X2,X3) -> U252#(X1,X2,X3)
     U252#(X1,mark(X2),X3) -> U252#(X1,X2,X3)
     U252#(X1,X2,mark(X3)) -> U252#(X1,X2,X3)
     U252#(active(X1),X2,X3) -> U252#(X1,X2,X3)
     U252#(X1,active(X2),X3) -> U252#(X1,X2,X3)
     U252#(X1,X2,active(X3)) -> U252#(X1,X2,X3)
     U253#(mark(X1),X2,X3) -> U253#(X1,X2,X3)
     U253#(X1,mark(X2),X3) -> U253#(X1,X2,X3)
     U253#(X1,X2,mark(X3)) -> U253#(X1,X2,X3)
     U253#(active(X1),X2,X3) -> U253#(X1,X2,X3)
     U253#(X1,active(X2),X3) -> U253#(X1,X2,X3)
     U253#(X1,X2,active(X3)) -> U253#(X1,X2,X3)
     U254#(mark(X1),X2,X3) -> U254#(X1,X2,X3)
     U254#(X1,mark(X2),X3) -> U254#(X1,X2,X3)
     U254#(X1,X2,mark(X3)) -> U254#(X1,X2,X3)
     U254#(active(X1),X2,X3) -> U254#(X1,X2,X3)
     U254#(X1,active(X2),X3) -> U254#(X1,X2,X3)
     U254#(X1,X2,active(X3)) -> U254#(X1,X2,X3)
     U255#(mark(X1),X2) -> U255#(X1,X2)
     U255#(X1,mark(X2)) -> U255#(X1,X2)
     U255#(active(X1),X2) -> U255#(X1,X2)
     U255#(X1,active(X2)) -> U255#(X1,X2)
     U256#(mark(X)) -> U256#(X)
     U256#(active(X)) -> U256#(X)
     U261#(mark(X1),X2) -> U261#(X1,X2)
     U261#(X1,mark(X2)) -> U261#(X1,X2)
     U261#(active(X1),X2) -> U261#(X1,X2)
     U261#(X1,active(X2)) -> U261#(X1,X2)
     U262#(mark(X)) -> U262#(X)
     U262#(active(X)) -> U262#(X)
     U271#(mark(X1),X2) -> U271#(X1,X2)
     U271#(X1,mark(X2)) -> U271#(X1,X2)
     U271#(active(X1),X2) -> U271#(X1,X2)
     U271#(X1,active(X2)) -> U271#(X1,X2)
     U272#(mark(X)) -> U272#(X)
     U272#(active(X)) -> U272#(X)
     U281#(mark(X1),X2) -> U281#(X1,X2)
     U281#(X1,mark(X2)) -> U281#(X1,X2)
     U281#(active(X1),X2) -> U281#(X1,X2)
     U281#(X1,active(X2)) -> U281#(X1,X2)
     U282#(mark(X1),X2) -> U282#(X1,X2)
     U282#(X1,mark(X2)) -> U282#(X1,X2)
     U282#(active(X1),X2) -> U282#(X1,X2)
     U282#(X1,active(X2)) -> U282#(X1,X2)
     cons#(mark(X1),X2) -> cons#(X1,X2)
     cons#(X1,mark(X2)) -> cons#(X1,X2)
     cons#(active(X1),X2) -> cons#(X1,X2)
     cons#(X1,active(X2)) -> cons#(X1,X2)
     natsFrom#(mark(X)) -> natsFrom#(X)
     natsFrom#(active(X)) -> natsFrom#(X)
     s#(mark(X)) -> s#(X)
     s#(active(X)) -> s#(X)
     U291#(mark(X1),X2,X3) -> U291#(X1,X2,X3)
     U291#(X1,mark(X2),X3) -> U291#(X1,X2,X3)
     U291#(X1,X2,mark(X3)) -> U291#(X1,X2,X3)
     U291#(active(X1),X2,X3) -> U291#(X1,X2,X3)
     U291#(X1,active(X2),X3) -> U291#(X1,X2,X3)
     U291#(X1,X2,active(X3)) -> U291#(X1,X2,X3)
     U292#(mark(X1),X2,X3) -> U292#(X1,X2,X3)
     U292#(X1,mark(X2),X3) -> U292#(X1,X2,X3)
     U292#(X1,X2,mark(X3)) -> U292#(X1,X2,X3)
     U292#(active(X1),X2,X3) -> U292#(X1,X2,X3)
     U292#(X1,active(X2),X3) -> U292#(X1,X2,X3)
     U292#(X1,X2,active(X3)) -> U292#(X1,X2,X3)
     U293#(mark(X1),X2,X3) -> U293#(X1,X2,X3)
     U293#(X1,mark(X2),X3) -> U293#(X1,X2,X3)
     U293#(X1,X2,mark(X3)) -> U293#(X1,X2,X3)
     U293#(active(X1),X2,X3) -> U293#(X1,X2,X3)
     U293#(X1,active(X2),X3) -> U293#(X1,X2,X3)
     U293#(X1,X2,active(X3)) -> U293#(X1,X2,X3)
     U294#(mark(X1),X2,X3) -> U294#(X1,X2,X3)
     U294#(X1,mark(X2),X3) -> U294#(X1,X2,X3)
     U294#(X1,X2,mark(X3)) -> U294#(X1,X2,X3)
     U294#(active(X1),X2,X3) -> U294#(X1,X2,X3)
     U294#(X1,active(X2),X3) -> U294#(X1,X2,X3)
     U294#(X1,X2,active(X3)) -> U294#(X1,X2,X3)
     head#(mark(X)) -> head#(X)
     head#(active(X)) -> head#(X)
     afterNth#(mark(X1),X2) -> afterNth#(X1,X2)
     afterNth#(X1,mark(X2)) -> afterNth#(X1,X2)
     afterNth#(active(X1),X2) -> afterNth#(X1,X2)
     afterNth#(X1,active(X2)) -> afterNth#(X1,X2)
     U301#(mark(X1),X2,X3) -> U301#(X1,X2,X3)
     U301#(X1,mark(X2),X3) -> U301#(X1,X2,X3)
     U301#(X1,X2,mark(X3)) -> U301#(X1,X2,X3)
     U301#(active(X1),X2,X3) -> U301#(X1,X2,X3)
     U301#(X1,active(X2),X3) -> U301#(X1,X2,X3)
     U301#(X1,X2,active(X3)) -> U301#(X1,X2,X3)
     U302#(mark(X1),X2) -> U302#(X1,X2)
     U302#(X1,mark(X2)) -> U302#(X1,X2)
     U302#(active(X1),X2) -> U302#(X1,X2)
     U302#(X1,active(X2)) -> U302#(X1,X2)
     U303#(mark(X1),X2) -> U303#(X1,X2)
     U303#(X1,mark(X2)) -> U303#(X1,X2)
     U303#(active(X1),X2) -> U303#(X1,X2)
     U303#(X1,active(X2)) -> U303#(X1,X2)
     U304#(mark(X1),X2) -> U304#(X1,X2)
     U304#(X1,mark(X2)) -> U304#(X1,X2)
     U304#(active(X1),X2) -> U304#(X1,X2)
     U304#(X1,active(X2)) -> U304#(X1,X2)
     U31#(mark(X1),X2,X3) -> U31#(X1,X2,X3)
     U31#(X1,mark(X2),X3) -> U31#(X1,X2,X3)
     U31#(X1,X2,mark(X3)) -> U31#(X1,X2,X3)
     U31#(active(X1),X2,X3) -> U31#(X1,X2,X3)
     U31#(X1,active(X2),X3) -> U31#(X1,X2,X3)
     U31#(X1,X2,active(X3)) -> U31#(X1,X2,X3)
     U32#(mark(X1),X2,X3) -> U32#(X1,X2,X3)
     U32#(X1,mark(X2),X3) -> U32#(X1,X2,X3)
     U32#(X1,X2,mark(X3)) -> U32#(X1,X2,X3)
     U32#(active(X1),X2,X3) -> U32#(X1,X2,X3)
     U32#(X1,active(X2),X3) -> U32#(X1,X2,X3)
     U32#(X1,X2,active(X3)) -> U32#(X1,X2,X3)
     U311#(mark(X1),X2) -> U311#(X1,X2)
     U311#(X1,mark(X2)) -> U311#(X1,X2)
     U311#(active(X1),X2) -> U311#(X1,X2)
     U311#(X1,active(X2)) -> U311#(X1,X2)
     U312#(mark(X1),X2) -> U312#(X1,X2)
     U312#(X1,mark(X2)) -> U312#(X1,X2)
     U312#(active(X1),X2) -> U312#(X1,X2)
     U312#(X1,active(X2)) -> U312#(X1,X2)
     pair#(mark(X1),X2) -> pair#(X1,X2)
     pair#(X1,mark(X2)) -> pair#(X1,X2)
     pair#(active(X1),X2) -> pair#(X1,X2)
     pair#(X1,active(X2)) -> pair#(X1,X2)
     U33#(mark(X1),X2,X3) -> U33#(X1,X2,X3)
     U33#(X1,mark(X2),X3) -> U33#(X1,X2,X3)
     U33#(X1,X2,mark(X3)) -> U33#(X1,X2,X3)
     U33#(active(X1),X2,X3) -> U33#(X1,X2,X3)
     U33#(X1,active(X2),X3) -> U33#(X1,X2,X3)
     U33#(X1,X2,active(X3)) -> U33#(X1,X2,X3)
     U321#(mark(X1),X2,X3,X4) -> U321#(X1,X2,X3,X4)
     U321#(X1,mark(X2),X3,X4) -> U321#(X1,X2,X3,X4)
     U321#(X1,X2,mark(X3),X4) -> U321#(X1,X2,X3,X4)
     U321#(X1,X2,X3,mark(X4)) -> U321#(X1,X2,X3,X4)
     U321#(active(X1),X2,X3,X4) -> U321#(X1,X2,X3,X4)
     U321#(X1,active(X2),X3,X4) -> U321#(X1,X2,X3,X4)
     U321#(X1,X2,active(X3),X4) -> U321#(X1,X2,X3,X4)
     U321#(X1,X2,X3,active(X4)) -> U321#(X1,X2,X3,X4)
     U322#(mark(X1),X2,X3,X4) -> U322#(X1,X2,X3,X4)
     U322#(X1,mark(X2),X3,X4) -> U322#(X1,X2,X3,X4)
     U322#(X1,X2,mark(X3),X4) -> U322#(X1,X2,X3,X4)
     U322#(X1,X2,X3,mark(X4)) -> U322#(X1,X2,X3,X4)
     U322#(active(X1),X2,X3,X4) -> U322#(X1,X2,X3,X4)
     U322#(X1,active(X2),X3,X4) -> U322#(X1,X2,X3,X4)
     U322#(X1,X2,active(X3),X4) -> U322#(X1,X2,X3,X4)
     U322#(X1,X2,X3,active(X4)) -> U322#(X1,X2,X3,X4)
     U323#(mark(X1),X2,X3,X4) -> U323#(X1,X2,X3,X4)
     U323#(X1,mark(X2),X3,X4) -> U323#(X1,X2,X3,X4)
     U323#(X1,X2,mark(X3),X4) -> U323#(X1,X2,X3,X4)
     U323#(X1,X2,X3,mark(X4)) -> U323#(X1,X2,X3,X4)
     U323#(active(X1),X2,X3,X4) -> U323#(X1,X2,X3,X4)
     U323#(X1,active(X2),X3,X4) -> U323#(X1,X2,X3,X4)
     U323#(X1,X2,active(X3),X4) -> U323#(X1,X2,X3,X4)
     U323#(X1,X2,X3,active(X4)) -> U323#(X1,X2,X3,X4)
     U324#(mark(X1),X2,X3,X4) -> U324#(X1,X2,X3,X4)
     U324#(X1,mark(X2),X3,X4) -> U324#(X1,X2,X3,X4)
     U324#(X1,X2,mark(X3),X4) -> U324#(X1,X2,X3,X4)
     U324#(X1,X2,X3,mark(X4)) -> U324#(X1,X2,X3,X4)
     U324#(active(X1),X2,X3,X4) -> U324#(X1,X2,X3,X4)
     U324#(X1,active(X2),X3,X4) -> U324#(X1,X2,X3,X4)
     U324#(X1,X2,active(X3),X4) -> U324#(X1,X2,X3,X4)
     U324#(X1,X2,X3,active(X4)) -> U324#(X1,X2,X3,X4)
     U325#(mark(X1),X2,X3,X4) -> U325#(X1,X2,X3,X4)
     U325#(X1,mark(X2),X3,X4) -> U325#(X1,X2,X3,X4)
     U325#(X1,X2,mark(X3),X4) -> U325#(X1,X2,X3,X4)
     U325#(X1,X2,X3,mark(X4)) -> U325#(X1,X2,X3,X4)
     U325#(active(X1),X2,X3,X4) -> U325#(X1,X2,X3,X4)
     U325#(X1,active(X2),X3,X4) -> U325#(X1,X2,X3,X4)
     U325#(X1,X2,active(X3),X4) -> U325#(X1,X2,X3,X4)
     U325#(X1,X2,X3,active(X4)) -> U325#(X1,X2,X3,X4)
     U326#(mark(X1),X2,X3,X4) -> U326#(X1,X2,X3,X4)
     U326#(X1,mark(X2),X3,X4) -> U326#(X1,X2,X3,X4)
     U326#(X1,X2,mark(X3),X4) -> U326#(X1,X2,X3,X4)
     U326#(X1,X2,X3,mark(X4)) -> U326#(X1,X2,X3,X4)
     U326#(active(X1),X2,X3,X4) -> U326#(X1,X2,X3,X4)
     U326#(X1,active(X2),X3,X4) -> U326#(X1,X2,X3,X4)
     U326#(X1,X2,active(X3),X4) -> U326#(X1,X2,X3,X4)
     U326#(X1,X2,X3,active(X4)) -> U326#(X1,X2,X3,X4)
     U327#(mark(X1),X2) -> U327#(X1,X2)
     U327#(X1,mark(X2)) -> U327#(X1,X2)
     U327#(active(X1),X2) -> U327#(X1,X2)
     U327#(X1,active(X2)) -> U327#(X1,X2)
     U34#(mark(X1),X2) -> U34#(X1,X2)
     U34#(X1,mark(X2)) -> U34#(X1,X2)
     U34#(active(X1),X2) -> U34#(X1,X2)
     U34#(X1,active(X2)) -> U34#(X1,X2)
     U331#(mark(X1),X2,X3) -> U331#(X1,X2,X3)
     U331#(X1,mark(X2),X3) -> U331#(X1,X2,X3)
     U331#(X1,X2,mark(X3)) -> U331#(X1,X2,X3)
     U331#(active(X1),X2,X3) -> U331#(X1,X2,X3)
     U331#(X1,active(X2),X3) -> U331#(X1,X2,X3)
     U331#(X1,X2,active(X3)) -> U331#(X1,X2,X3)
     U332#(mark(X1),X2) -> U332#(X1,X2)
     U332#(X1,mark(X2)) -> U332#(X1,X2)
     U332#(active(X1),X2) -> U332#(X1,X2)
     U332#(X1,active(X2)) -> U332#(X1,X2)
     U333#(mark(X1),X2) -> U333#(X1,X2)
     U333#(X1,mark(X2)) -> U333#(X1,X2)
     U333#(active(X1),X2) -> U333#(X1,X2)
     U333#(X1,active(X2)) -> U333#(X1,X2)
     U334#(mark(X1),X2) -> U334#(X1,X2)
     U334#(X1,mark(X2)) -> U334#(X1,X2)
     U334#(active(X1),X2) -> U334#(X1,X2)
     U334#(X1,active(X2)) -> U334#(X1,X2)
     U341#(mark(X1),X2,X3) -> U341#(X1,X2,X3)
     U341#(X1,mark(X2),X3) -> U341#(X1,X2,X3)
     U341#(X1,X2,mark(X3)) -> U341#(X1,X2,X3)
     U341#(active(X1),X2,X3) -> U341#(X1,X2,X3)
     U341#(X1,active(X2),X3) -> U341#(X1,X2,X3)
     U341#(X1,X2,active(X3)) -> U341#(X1,X2,X3)
     U342#(mark(X1),X2,X3) -> U342#(X1,X2,X3)
     U342#(X1,mark(X2),X3) -> U342#(X1,X2,X3)
     U342#(X1,X2,mark(X3)) -> U342#(X1,X2,X3)
     U342#(active(X1),X2,X3) -> U342#(X1,X2,X3)
     U342#(X1,active(X2),X3) -> U342#(X1,X2,X3)
     U342#(X1,X2,active(X3)) -> U342#(X1,X2,X3)
     U343#(mark(X1),X2,X3) -> U343#(X1,X2,X3)
     U343#(X1,mark(X2),X3) -> U343#(X1,X2,X3)
     U343#(X1,X2,mark(X3)) -> U343#(X1,X2,X3)
     U343#(active(X1),X2,X3) -> U343#(X1,X2,X3)
     U343#(X1,active(X2),X3) -> U343#(X1,X2,X3)
     U343#(X1,X2,active(X3)) -> U343#(X1,X2,X3)
     U344#(mark(X1),X2,X3) -> U344#(X1,X2,X3)
     U344#(X1,mark(X2),X3) -> U344#(X1,X2,X3)
     U344#(X1,X2,mark(X3)) -> U344#(X1,X2,X3)
     U344#(active(X1),X2,X3) -> U344#(X1,X2,X3)
     U344#(X1,active(X2),X3) -> U344#(X1,X2,X3)
     U344#(X1,X2,active(X3)) -> U344#(X1,X2,X3)
     fst#(mark(X)) -> fst#(X)
     fst#(active(X)) -> fst#(X)
     U41#(mark(X1),X2,X3) -> U41#(X1,X2,X3)
     U41#(X1,mark(X2),X3) -> U41#(X1,X2,X3)
     U41#(X1,X2,mark(X3)) -> U41#(X1,X2,X3)
     U41#(active(X1),X2,X3) -> U41#(X1,X2,X3)
     U41#(X1,active(X2),X3) -> U41#(X1,X2,X3)
     U41#(X1,X2,active(X3)) -> U41#(X1,X2,X3)
     U42#(mark(X1),X2,X3) -> U42#(X1,X2,X3)
     U42#(X1,mark(X2),X3) -> U42#(X1,X2,X3)
     U42#(X1,X2,mark(X3)) -> U42#(X1,X2,X3)
     U42#(active(X1),X2,X3) -> U42#(X1,X2,X3)
     U42#(X1,active(X2),X3) -> U42#(X1,X2,X3)
     U42#(X1,X2,active(X3)) -> U42#(X1,X2,X3)
     U43#(mark(X1),X2,X3) -> U43#(X1,X2,X3)
     U43#(X1,mark(X2),X3) -> U43#(X1,X2,X3)
     U43#(X1,X2,mark(X3)) -> U43#(X1,X2,X3)
     U43#(active(X1),X2,X3) -> U43#(X1,X2,X3)
     U43#(X1,active(X2),X3) -> U43#(X1,X2,X3)
     U43#(X1,X2,active(X3)) -> U43#(X1,X2,X3)
     U44#(mark(X1),X2,X3) -> U44#(X1,X2,X3)
     U44#(X1,mark(X2),X3) -> U44#(X1,X2,X3)
     U44#(X1,X2,mark(X3)) -> U44#(X1,X2,X3)
     U44#(active(X1),X2,X3) -> U44#(X1,X2,X3)
     U44#(X1,active(X2),X3) -> U44#(X1,X2,X3)
     U44#(X1,X2,active(X3)) -> U44#(X1,X2,X3)
     U45#(mark(X1),X2) -> U45#(X1,X2)
     U45#(X1,mark(X2)) -> U45#(X1,X2)
     U45#(active(X1),X2) -> U45#(X1,X2)
     U45#(X1,active(X2)) -> U45#(X1,X2)
     U46#(mark(X)) -> U46#(X)
     U46#(active(X)) -> U46#(X)
     U51#(mark(X1),X2,X3) -> U51#(X1,X2,X3)
     U51#(X1,mark(X2),X3) -> U51#(X1,X2,X3)
     U51#(X1,X2,mark(X3)) -> U51#(X1,X2,X3)
     U51#(active(X1),X2,X3) -> U51#(X1,X2,X3)
     U51#(X1,active(X2),X3) -> U51#(X1,X2,X3)
     U51#(X1,X2,active(X3)) -> U51#(X1,X2,X3)
     U52#(mark(X1),X2,X3) -> U52#(X1,X2,X3)
     U52#(X1,mark(X2),X3) -> U52#(X1,X2,X3)
     U52#(X1,X2,mark(X3)) -> U52#(X1,X2,X3)
     U52#(active(X1),X2,X3) -> U52#(X1,X2,X3)
     U52#(X1,active(X2),X3) -> U52#(X1,X2,X3)
     U52#(X1,X2,active(X3)) -> U52#(X1,X2,X3)
     U53#(mark(X1),X2,X3) -> U53#(X1,X2,X3)
     U53#(X1,mark(X2),X3) -> U53#(X1,X2,X3)
     U53#(X1,X2,mark(X3)) -> U53#(X1,X2,X3)
     U53#(active(X1),X2,X3) -> U53#(X1,X2,X3)
     U53#(X1,active(X2),X3) -> U53#(X1,X2,X3)
     U53#(X1,X2,active(X3)) -> U53#(X1,X2,X3)
     U54#(mark(X1),X2,X3) -> U54#(X1,X2,X3)
     U54#(X1,mark(X2),X3) -> U54#(X1,X2,X3)
     U54#(X1,X2,mark(X3)) -> U54#(X1,X2,X3)
     U54#(active(X1),X2,X3) -> U54#(X1,X2,X3)
     U54#(X1,active(X2),X3) -> U54#(X1,X2,X3)
     U54#(X1,X2,active(X3)) -> U54#(X1,X2,X3)
     U55#(mark(X1),X2) -> U55#(X1,X2)
     U55#(X1,mark(X2)) -> U55#(X1,X2)
     U55#(active(X1),X2) -> U55#(X1,X2)
     U55#(X1,active(X2)) -> U55#(X1,X2)
     U56#(mark(X)) -> U56#(X)
     U56#(active(X)) -> U56#(X)
     U61#(mark(X1),X2) -> U61#(X1,X2)
     U61#(X1,mark(X2)) -> U61#(X1,X2)
     U61#(active(X1),X2) -> U61#(X1,X2)
     U61#(X1,active(X2)) -> U61#(X1,X2)
     U62#(mark(X1),X2) -> U62#(X1,X2)
     U62#(X1,mark(X2)) -> U62#(X1,X2)
     U62#(active(X1),X2) -> U62#(X1,X2)
     U62#(X1,active(X2)) -> U62#(X1,X2)
     isPLNatKind#(mark(X)) -> isPLNatKind#(X)
     isPLNatKind#(active(X)) -> isPLNatKind#(X)
     U63#(mark(X)) -> U63#(X)
     U63#(active(X)) -> U63#(X)
     isPLNat#(mark(X)) -> isPLNat#(X)
     isPLNat#(active(X)) -> isPLNat#(X)
     U71#(mark(X1),X2) -> U71#(X1,X2)
     U71#(X1,mark(X2)) -> U71#(X1,X2)
     U71#(active(X1),X2) -> U71#(X1,X2)
     U71#(X1,active(X2)) -> U71#(X1,X2)
     U72#(mark(X1),X2) -> U72#(X1,X2)
     U72#(X1,mark(X2)) -> U72#(X1,X2)
     U72#(active(X1),X2) -> U72#(X1,X2)
     U72#(X1,active(X2)) -> U72#(X1,X2)
     U73#(mark(X)) -> U73#(X)
     U73#(active(X)) -> U73#(X)
     U81#(mark(X1),X2) -> U81#(X1,X2)
     U81#(X1,mark(X2)) -> U81#(X1,X2)
     U81#(active(X1),X2) -> U81#(X1,X2)
     U81#(X1,active(X2)) -> U81#(X1,X2)
     U82#(mark(X1),X2) -> U82#(X1,X2)
     U82#(X1,mark(X2)) -> U82#(X1,X2)
     U82#(active(X1),X2) -> U82#(X1,X2)
     U82#(X1,active(X2)) -> U82#(X1,X2)
     U83#(mark(X)) -> U83#(X)
     U83#(active(X)) -> U83#(X)
     U91#(mark(X1),X2) -> U91#(X1,X2)
     U91#(X1,mark(X2)) -> U91#(X1,X2)
     U91#(active(X1),X2) -> U91#(X1,X2)
     U91#(X1,active(X2)) -> U91#(X1,X2)
     U92#(mark(X1),X2) -> U92#(X1,X2)
     U92#(X1,mark(X2)) -> U92#(X1,X2)
     U92#(active(X1),X2) -> U92#(X1,X2)
     U92#(X1,active(X2)) -> U92#(X1,X2)
     U93#(mark(X)) -> U93#(X)
     U93#(active(X)) -> U93#(X)
     tail#(mark(X)) -> tail#(X)
     tail#(active(X)) -> tail#(X)
     take#(mark(X1),X2) -> take#(X1,X2)
     take#(X1,mark(X2)) -> take#(X1,X2)
     take#(active(X1),X2) -> take#(X1,X2)
     take#(X1,active(X2)) -> take#(X1,X2)
     sel#(mark(X1),X2) -> sel#(X1,X2)
     sel#(X1,mark(X2)) -> sel#(X1,X2)
     sel#(active(X1),X2) -> sel#(X1,X2)
     sel#(X1,active(X2)) -> sel#(X1,X2)
    TRS:
     active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
     active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
     active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
     active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
     active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
     active(U106(tt())) -> mark(tt())
     active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
     active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
     active(U112(tt())) -> mark(tt())
     active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
     active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
     active(U122(tt())) -> mark(tt())
     active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
     active(U131(tt())) -> mark(tt())
     active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
     active(U141(tt())) -> mark(tt())
     active(U151(tt())) -> mark(tt())
     active(U161(tt())) -> mark(tt())
     active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
     active(U172(tt())) -> mark(tt())
     active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
     active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
     active(U183(tt())) -> mark(tt())
     active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
     active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
     active(U193(tt())) -> mark(tt())
     active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
     active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
     active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
     active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
     active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
     active(U206(tt())) -> mark(tt())
     active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
     active(U211(tt())) -> mark(tt())
     active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
     active(U221(tt())) -> mark(tt())
     active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
     active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
     active(U232(tt())) -> mark(tt())
     active(U24(tt(),X)) -> mark(X)
     active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
     active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
     active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
     active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
     active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
     active(U246(tt())) -> mark(tt())
     active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
     active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
     active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
     active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
     active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
     active(U256(tt())) -> mark(tt())
     active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
     active(U262(tt())) -> mark(tt())
     active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
     active(U272(tt())) -> mark(tt())
     active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
     active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
     active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
     active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
     active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
     active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
     active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
     active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
     active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
     active(U304(tt(),Y)) -> mark(Y)
     active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
     active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
     active(U312(tt(),XS)) -> mark(pair(nil(),XS))
     active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
     active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
     active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
     active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
     active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
     active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
     active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
     active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
     active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
     active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
     active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
     active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
     active(U334(tt(),XS)) -> mark(XS)
     active(U34(tt(),N)) -> mark(N)
     active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
     active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
     active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
     active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
     active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
     active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
     active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
     active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
     active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
     active(U46(tt())) -> mark(tt())
     active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
     active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
     active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
     active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
     active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
     active(U56(tt())) -> mark(tt())
     active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
     active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
     active(U63(tt())) -> mark(tt())
     active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
     active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
     active(U73(tt())) -> mark(tt())
     active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
     active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
     active(U83(tt())) -> mark(tt())
     active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
     active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
     active(U93(tt())) -> mark(tt())
     active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
     active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
     active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
     active(isLNat(nil())) -> mark(tt())
     active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
     active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
     active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
     active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
     active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
     active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
     active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
     active(isLNatKind(nil())) -> mark(tt())
     active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
     active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
     active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
     active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
     active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
     active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
     active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
     active(isNatural(0())) -> mark(tt())
     active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
     active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
     active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
     active(isNaturalKind(0())) -> mark(tt())
     active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
     active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
     active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
     active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
     active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
     active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
     active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
     active(natsFrom(N)) -> mark(U281(isNatural(N),N))
     active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
     active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
     active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
     active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
     active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
     active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
     mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
     mark(tt()) -> active(tt())
     mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
     mark(isNaturalKind(X)) -> active(isNaturalKind(X))
     mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
     mark(isLNatKind(X)) -> active(isLNatKind(X))
     mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
     mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
     mark(isNatural(X)) -> active(isNatural(X))
     mark(U106(X)) -> active(U106(mark(X)))
     mark(isLNat(X)) -> active(isLNat(X))
     mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
     mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
     mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
     mark(U112(X)) -> active(U112(mark(X)))
     mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
     mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
     mark(U122(X)) -> active(U122(mark(X)))
     mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
     mark(U131(X)) -> active(U131(mark(X)))
     mark(snd(X)) -> active(snd(mark(X)))
     mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
     mark(U141(X)) -> active(U141(mark(X)))
     mark(U151(X)) -> active(U151(mark(X)))
     mark(U161(X)) -> active(U161(mark(X)))
     mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
     mark(U172(X)) -> active(U172(mark(X)))
     mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
     mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
     mark(U183(X)) -> active(U183(mark(X)))
     mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
     mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
     mark(U193(X)) -> active(U193(mark(X)))
     mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
     mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
     mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
     mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
     mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
     mark(U206(X)) -> active(U206(mark(X)))
     mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
     mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
     mark(U211(X)) -> active(U211(mark(X)))
     mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
     mark(U221(X)) -> active(U221(mark(X)))
     mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
     mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
     mark(U232(X)) -> active(U232(mark(X)))
     mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
     mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
     mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
     mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
     mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
     mark(U246(X)) -> active(U246(mark(X)))
     mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
     mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
     mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
     mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
     mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
     mark(U256(X)) -> active(U256(mark(X)))
     mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
     mark(U262(X)) -> active(U262(mark(X)))
     mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
     mark(U272(X)) -> active(U272(mark(X)))
     mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
     mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
     mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
     mark(natsFrom(X)) -> active(natsFrom(mark(X)))
     mark(s(X)) -> active(s(mark(X)))
     mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
     mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
     mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
     mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
     mark(head(X)) -> active(head(mark(X)))
     mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
     mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
     mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
     mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
     mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
     mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
     mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
     mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
     mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
     mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
     mark(nil()) -> active(nil())
     mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
     mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
     mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
     mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
     mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
     mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
     mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
     mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
     mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
     mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
     mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
     mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
     mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
     mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
     mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
     mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
     mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
     mark(fst(X)) -> active(fst(mark(X)))
     mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
     mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
     mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
     mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
     mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
     mark(U46(X)) -> active(U46(mark(X)))
     mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
     mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
     mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
     mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
     mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
     mark(U56(X)) -> active(U56(mark(X)))
     mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
     mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
     mark(isPLNatKind(X)) -> active(isPLNatKind(X))
     mark(U63(X)) -> active(U63(mark(X)))
     mark(isPLNat(X)) -> active(isPLNat(X))
     mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
     mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
     mark(U73(X)) -> active(U73(mark(X)))
     mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
     mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
     mark(U83(X)) -> active(U83(mark(X)))
     mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
     mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
     mark(U93(X)) -> active(U93(mark(X)))
     mark(tail(X)) -> active(tail(mark(X)))
     mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
     mark(0()) -> active(0())
     mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
     U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
     U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
     U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
     U101(active(X1),X2,X3) -> U101(X1,X2,X3)
     U101(X1,active(X2),X3) -> U101(X1,X2,X3)
     U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
     U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
     U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
     U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
     U102(active(X1),X2,X3) -> U102(X1,X2,X3)
     U102(X1,active(X2),X3) -> U102(X1,X2,X3)
     U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
     isNaturalKind(mark(X)) -> isNaturalKind(X)
     isNaturalKind(active(X)) -> isNaturalKind(X)
     U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
     U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
     U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
     U103(active(X1),X2,X3) -> U103(X1,X2,X3)
     U103(X1,active(X2),X3) -> U103(X1,X2,X3)
     U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
     isLNatKind(mark(X)) -> isLNatKind(X)
     isLNatKind(active(X)) -> isLNatKind(X)
     U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
     U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
     U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
     U104(active(X1),X2,X3) -> U104(X1,X2,X3)
     U104(X1,active(X2),X3) -> U104(X1,X2,X3)
     U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
     U105(mark(X1),X2) -> U105(X1,X2)
     U105(X1,mark(X2)) -> U105(X1,X2)
     U105(active(X1),X2) -> U105(X1,X2)
     U105(X1,active(X2)) -> U105(X1,X2)
     isNatural(mark(X)) -> isNatural(X)
     isNatural(active(X)) -> isNatural(X)
     U106(mark(X)) -> U106(X)
     U106(active(X)) -> U106(X)
     isLNat(mark(X)) -> isLNat(X)
     isLNat(active(X)) -> isLNat(X)
     U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
     U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
     U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
     U11(active(X1),X2,X3) -> U11(X1,X2,X3)
     U11(X1,active(X2),X3) -> U11(X1,X2,X3)
     U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
     U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
     U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
     U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
     U12(active(X1),X2,X3) -> U12(X1,X2,X3)
     U12(X1,active(X2),X3) -> U12(X1,X2,X3)
     U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
     U111(mark(X1),X2) -> U111(X1,X2)
     U111(X1,mark(X2)) -> U111(X1,X2)
     U111(active(X1),X2) -> U111(X1,X2)
     U111(X1,active(X2)) -> U111(X1,X2)
     U112(mark(X)) -> U112(X)
     U112(active(X)) -> U112(X)
     U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
     U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
     U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
     U13(active(X1),X2,X3) -> U13(X1,X2,X3)
     U13(X1,active(X2),X3) -> U13(X1,X2,X3)
     U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
     U121(mark(X1),X2) -> U121(X1,X2)
     U121(X1,mark(X2)) -> U121(X1,X2)
     U121(active(X1),X2) -> U121(X1,X2)
     U121(X1,active(X2)) -> U121(X1,X2)
     U122(mark(X)) -> U122(X)
     U122(active(X)) -> U122(X)
     U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
     U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
     U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
     U14(active(X1),X2,X3) -> U14(X1,X2,X3)
     U14(X1,active(X2),X3) -> U14(X1,X2,X3)
     U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
     U131(mark(X)) -> U131(X)
     U131(active(X)) -> U131(X)
     snd(mark(X)) -> snd(X)
     snd(active(X)) -> snd(X)
     splitAt(mark(X1),X2) -> splitAt(X1,X2)
     splitAt(X1,mark(X2)) -> splitAt(X1,X2)
     splitAt(active(X1),X2) -> splitAt(X1,X2)
     splitAt(X1,active(X2)) -> splitAt(X1,X2)
     U141(mark(X)) -> U141(X)
     U141(active(X)) -> U141(X)
     U151(mark(X)) -> U151(X)
     U151(active(X)) -> U151(X)
     U161(mark(X)) -> U161(X)
     U161(active(X)) -> U161(X)
     U171(mark(X1),X2) -> U171(X1,X2)
     U171(X1,mark(X2)) -> U171(X1,X2)
     U171(active(X1),X2) -> U171(X1,X2)
     U171(X1,active(X2)) -> U171(X1,X2)
     U172(mark(X)) -> U172(X)
     U172(active(X)) -> U172(X)
     U181(mark(X1),X2) -> U181(X1,X2)
     U181(X1,mark(X2)) -> U181(X1,X2)
     U181(active(X1),X2) -> U181(X1,X2)
     U181(X1,active(X2)) -> U181(X1,X2)
     U182(mark(X1),X2) -> U182(X1,X2)
     U182(X1,mark(X2)) -> U182(X1,X2)
     U182(active(X1),X2) -> U182(X1,X2)
     U182(X1,active(X2)) -> U182(X1,X2)
     U183(mark(X)) -> U183(X)
     U183(active(X)) -> U183(X)
     U191(mark(X1),X2) -> U191(X1,X2)
     U191(X1,mark(X2)) -> U191(X1,X2)
     U191(active(X1),X2) -> U191(X1,X2)
     U191(X1,active(X2)) -> U191(X1,X2)
     U192(mark(X1),X2) -> U192(X1,X2)
     U192(X1,mark(X2)) -> U192(X1,X2)
     U192(active(X1),X2) -> U192(X1,X2)
     U192(X1,active(X2)) -> U192(X1,X2)
     U193(mark(X)) -> U193(X)
     U193(active(X)) -> U193(X)
     U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
     U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
     U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
     U201(active(X1),X2,X3) -> U201(X1,X2,X3)
     U201(X1,active(X2),X3) -> U201(X1,X2,X3)
     U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
     U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
     U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
     U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
     U202(active(X1),X2,X3) -> U202(X1,X2,X3)
     U202(X1,active(X2),X3) -> U202(X1,X2,X3)
     U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
     U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
     U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
     U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
     U203(active(X1),X2,X3) -> U203(X1,X2,X3)
     U203(X1,active(X2),X3) -> U203(X1,X2,X3)
     U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
     U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
     U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
     U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
     U204(active(X1),X2,X3) -> U204(X1,X2,X3)
     U204(X1,active(X2),X3) -> U204(X1,X2,X3)
     U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
     U205(mark(X1),X2) -> U205(X1,X2)
     U205(X1,mark(X2)) -> U205(X1,X2)
     U205(active(X1),X2) -> U205(X1,X2)
     U205(X1,active(X2)) -> U205(X1,X2)
     U206(mark(X)) -> U206(X)
     U206(active(X)) -> U206(X)
     U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
     U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
     U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
     U21(active(X1),X2,X3) -> U21(X1,X2,X3)
     U21(X1,active(X2),X3) -> U21(X1,X2,X3)
     U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
     U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
     U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
     U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
     U22(active(X1),X2,X3) -> U22(X1,X2,X3)
     U22(X1,active(X2),X3) -> U22(X1,X2,X3)
     U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
     U211(mark(X)) -> U211(X)
     U211(active(X)) -> U211(X)
     U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
     U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
     U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
     U23(active(X1),X2,X3) -> U23(X1,X2,X3)
     U23(X1,active(X2),X3) -> U23(X1,X2,X3)
     U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
     U221(mark(X)) -> U221(X)
     U221(active(X)) -> U221(X)
     U24(mark(X1),X2) -> U24(X1,X2)
     U24(X1,mark(X2)) -> U24(X1,X2)
     U24(active(X1),X2) -> U24(X1,X2)
     U24(X1,active(X2)) -> U24(X1,X2)
     U231(mark(X1),X2) -> U231(X1,X2)
     U231(X1,mark(X2)) -> U231(X1,X2)
     U231(active(X1),X2) -> U231(X1,X2)
     U231(X1,active(X2)) -> U231(X1,X2)
     U232(mark(X)) -> U232(X)
     U232(active(X)) -> U232(X)
     U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
     U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
     U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
     U241(active(X1),X2,X3) -> U241(X1,X2,X3)
     U241(X1,active(X2),X3) -> U241(X1,X2,X3)
     U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
     U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
     U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
     U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
     U242(active(X1),X2,X3) -> U242(X1,X2,X3)
     U242(X1,active(X2),X3) -> U242(X1,X2,X3)
     U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
     U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
     U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
     U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
     U243(active(X1),X2,X3) -> U243(X1,X2,X3)
     U243(X1,active(X2),X3) -> U243(X1,X2,X3)
     U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
     U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
     U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
     U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
     U244(active(X1),X2,X3) -> U244(X1,X2,X3)
     U244(X1,active(X2),X3) -> U244(X1,X2,X3)
     U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
     U245(mark(X1),X2) -> U245(X1,X2)
     U245(X1,mark(X2)) -> U245(X1,X2)
     U245(active(X1),X2) -> U245(X1,X2)
     U245(X1,active(X2)) -> U245(X1,X2)
     U246(mark(X)) -> U246(X)
     U246(active(X)) -> U246(X)
     U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
     U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
     U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
     U251(active(X1),X2,X3) -> U251(X1,X2,X3)
     U251(X1,active(X2),X3) -> U251(X1,X2,X3)
     U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
     U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
     U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
     U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
     U252(active(X1),X2,X3) -> U252(X1,X2,X3)
     U252(X1,active(X2),X3) -> U252(X1,X2,X3)
     U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
     U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
     U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
     U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
     U253(active(X1),X2,X3) -> U253(X1,X2,X3)
     U253(X1,active(X2),X3) -> U253(X1,X2,X3)
     U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
     U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
     U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
     U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
     U254(active(X1),X2,X3) -> U254(X1,X2,X3)
     U254(X1,active(X2),X3) -> U254(X1,X2,X3)
     U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
     U255(mark(X1),X2) -> U255(X1,X2)
     U255(X1,mark(X2)) -> U255(X1,X2)
     U255(active(X1),X2) -> U255(X1,X2)
     U255(X1,active(X2)) -> U255(X1,X2)
     U256(mark(X)) -> U256(X)
     U256(active(X)) -> U256(X)
     U261(mark(X1),X2) -> U261(X1,X2)
     U261(X1,mark(X2)) -> U261(X1,X2)
     U261(active(X1),X2) -> U261(X1,X2)
     U261(X1,active(X2)) -> U261(X1,X2)
     U262(mark(X)) -> U262(X)
     U262(active(X)) -> U262(X)
     U271(mark(X1),X2) -> U271(X1,X2)
     U271(X1,mark(X2)) -> U271(X1,X2)
     U271(active(X1),X2) -> U271(X1,X2)
     U271(X1,active(X2)) -> U271(X1,X2)
     U272(mark(X)) -> U272(X)
     U272(active(X)) -> U272(X)
     U281(mark(X1),X2) -> U281(X1,X2)
     U281(X1,mark(X2)) -> U281(X1,X2)
     U281(active(X1),X2) -> U281(X1,X2)
     U281(X1,active(X2)) -> U281(X1,X2)
     U282(mark(X1),X2) -> U282(X1,X2)
     U282(X1,mark(X2)) -> U282(X1,X2)
     U282(active(X1),X2) -> U282(X1,X2)
     U282(X1,active(X2)) -> U282(X1,X2)
     cons(mark(X1),X2) -> cons(X1,X2)
     cons(X1,mark(X2)) -> cons(X1,X2)
     cons(active(X1),X2) -> cons(X1,X2)
     cons(X1,active(X2)) -> cons(X1,X2)
     natsFrom(mark(X)) -> natsFrom(X)
     natsFrom(active(X)) -> natsFrom(X)
     s(mark(X)) -> s(X)
     s(active(X)) -> s(X)
     U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
     U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
     U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
     U291(active(X1),X2,X3) -> U291(X1,X2,X3)
     U291(X1,active(X2),X3) -> U291(X1,X2,X3)
     U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
     U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
     U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
     U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
     U292(active(X1),X2,X3) -> U292(X1,X2,X3)
     U292(X1,active(X2),X3) -> U292(X1,X2,X3)
     U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
     U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
     U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
     U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
     U293(active(X1),X2,X3) -> U293(X1,X2,X3)
     U293(X1,active(X2),X3) -> U293(X1,X2,X3)
     U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
     U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
     U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
     U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
     U294(active(X1),X2,X3) -> U294(X1,X2,X3)
     U294(X1,active(X2),X3) -> U294(X1,X2,X3)
     U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
     head(mark(X)) -> head(X)
     head(active(X)) -> head(X)
     afterNth(mark(X1),X2) -> afterNth(X1,X2)
     afterNth(X1,mark(X2)) -> afterNth(X1,X2)
     afterNth(active(X1),X2) -> afterNth(X1,X2)
     afterNth(X1,active(X2)) -> afterNth(X1,X2)
     U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
     U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
     U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
     U301(active(X1),X2,X3) -> U301(X1,X2,X3)
     U301(X1,active(X2),X3) -> U301(X1,X2,X3)
     U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
     U302(mark(X1),X2) -> U302(X1,X2)
     U302(X1,mark(X2)) -> U302(X1,X2)
     U302(active(X1),X2) -> U302(X1,X2)
     U302(X1,active(X2)) -> U302(X1,X2)
     U303(mark(X1),X2) -> U303(X1,X2)
     U303(X1,mark(X2)) -> U303(X1,X2)
     U303(active(X1),X2) -> U303(X1,X2)
     U303(X1,active(X2)) -> U303(X1,X2)
     U304(mark(X1),X2) -> U304(X1,X2)
     U304(X1,mark(X2)) -> U304(X1,X2)
     U304(active(X1),X2) -> U304(X1,X2)
     U304(X1,active(X2)) -> U304(X1,X2)
     U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
     U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
     U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
     U31(active(X1),X2,X3) -> U31(X1,X2,X3)
     U31(X1,active(X2),X3) -> U31(X1,X2,X3)
     U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
     U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
     U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
     U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
     U32(active(X1),X2,X3) -> U32(X1,X2,X3)
     U32(X1,active(X2),X3) -> U32(X1,X2,X3)
     U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
     U311(mark(X1),X2) -> U311(X1,X2)
     U311(X1,mark(X2)) -> U311(X1,X2)
     U311(active(X1),X2) -> U311(X1,X2)
     U311(X1,active(X2)) -> U311(X1,X2)
     U312(mark(X1),X2) -> U312(X1,X2)
     U312(X1,mark(X2)) -> U312(X1,X2)
     U312(active(X1),X2) -> U312(X1,X2)
     U312(X1,active(X2)) -> U312(X1,X2)
     pair(mark(X1),X2) -> pair(X1,X2)
     pair(X1,mark(X2)) -> pair(X1,X2)
     pair(active(X1),X2) -> pair(X1,X2)
     pair(X1,active(X2)) -> pair(X1,X2)
     U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
     U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
     U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
     U33(active(X1),X2,X3) -> U33(X1,X2,X3)
     U33(X1,active(X2),X3) -> U33(X1,X2,X3)
     U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
     U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
     U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
     U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
     U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
     U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
     U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
     U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
     U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
     U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
     U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
     U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
     U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
     U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
     U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
     U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
     U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
     U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
     U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
     U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
     U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
     U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
     U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
     U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
     U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
     U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
     U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
     U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
     U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
     U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
     U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
     U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
     U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
     U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
     U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
     U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
     U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
     U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
     U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
     U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
     U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
     U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
     U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
     U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
     U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
     U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
     U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
     U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
     U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
     U327(mark(X1),X2) -> U327(X1,X2)
     U327(X1,mark(X2)) -> U327(X1,X2)
     U327(active(X1),X2) -> U327(X1,X2)
     U327(X1,active(X2)) -> U327(X1,X2)
     U34(mark(X1),X2) -> U34(X1,X2)
     U34(X1,mark(X2)) -> U34(X1,X2)
     U34(active(X1),X2) -> U34(X1,X2)
     U34(X1,active(X2)) -> U34(X1,X2)
     U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
     U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
     U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
     U331(active(X1),X2,X3) -> U331(X1,X2,X3)
     U331(X1,active(X2),X3) -> U331(X1,X2,X3)
     U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
     U332(mark(X1),X2) -> U332(X1,X2)
     U332(X1,mark(X2)) -> U332(X1,X2)
     U332(active(X1),X2) -> U332(X1,X2)
     U332(X1,active(X2)) -> U332(X1,X2)
     U333(mark(X1),X2) -> U333(X1,X2)
     U333(X1,mark(X2)) -> U333(X1,X2)
     U333(active(X1),X2) -> U333(X1,X2)
     U333(X1,active(X2)) -> U333(X1,X2)
     U334(mark(X1),X2) -> U334(X1,X2)
     U334(X1,mark(X2)) -> U334(X1,X2)
     U334(active(X1),X2) -> U334(X1,X2)
     U334(X1,active(X2)) -> U334(X1,X2)
     U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
     U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
     U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
     U341(active(X1),X2,X3) -> U341(X1,X2,X3)
     U341(X1,active(X2),X3) -> U341(X1,X2,X3)
     U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
     U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
     U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
     U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
     U342(active(X1),X2,X3) -> U342(X1,X2,X3)
     U342(X1,active(X2),X3) -> U342(X1,X2,X3)
     U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
     U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
     U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
     U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
     U343(active(X1),X2,X3) -> U343(X1,X2,X3)
     U343(X1,active(X2),X3) -> U343(X1,X2,X3)
     U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
     U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
     U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
     U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
     U344(active(X1),X2,X3) -> U344(X1,X2,X3)
     U344(X1,active(X2),X3) -> U344(X1,X2,X3)
     U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
     fst(mark(X)) -> fst(X)
     fst(active(X)) -> fst(X)
     U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
     U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
     U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
     U41(active(X1),X2,X3) -> U41(X1,X2,X3)
     U41(X1,active(X2),X3) -> U41(X1,X2,X3)
     U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
     U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
     U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
     U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
     U42(active(X1),X2,X3) -> U42(X1,X2,X3)
     U42(X1,active(X2),X3) -> U42(X1,X2,X3)
     U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
     U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
     U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
     U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
     U43(active(X1),X2,X3) -> U43(X1,X2,X3)
     U43(X1,active(X2),X3) -> U43(X1,X2,X3)
     U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
     U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
     U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
     U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
     U44(active(X1),X2,X3) -> U44(X1,X2,X3)
     U44(X1,active(X2),X3) -> U44(X1,X2,X3)
     U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
     U45(mark(X1),X2) -> U45(X1,X2)
     U45(X1,mark(X2)) -> U45(X1,X2)
     U45(active(X1),X2) -> U45(X1,X2)
     U45(X1,active(X2)) -> U45(X1,X2)
     U46(mark(X)) -> U46(X)
     U46(active(X)) -> U46(X)
     U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
     U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
     U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
     U51(active(X1),X2,X3) -> U51(X1,X2,X3)
     U51(X1,active(X2),X3) -> U51(X1,X2,X3)
     U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
     U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
     U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
     U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
     U52(active(X1),X2,X3) -> U52(X1,X2,X3)
     U52(X1,active(X2),X3) -> U52(X1,X2,X3)
     U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
     U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
     U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
     U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
     U53(active(X1),X2,X3) -> U53(X1,X2,X3)
     U53(X1,active(X2),X3) -> U53(X1,X2,X3)
     U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
     U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
     U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
     U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
     U54(active(X1),X2,X3) -> U54(X1,X2,X3)
     U54(X1,active(X2),X3) -> U54(X1,X2,X3)
     U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
     U55(mark(X1),X2) -> U55(X1,X2)
     U55(X1,mark(X2)) -> U55(X1,X2)
     U55(active(X1),X2) -> U55(X1,X2)
     U55(X1,active(X2)) -> U55(X1,X2)
     U56(mark(X)) -> U56(X)
     U56(active(X)) -> U56(X)
     U61(mark(X1),X2) -> U61(X1,X2)
     U61(X1,mark(X2)) -> U61(X1,X2)
     U61(active(X1),X2) -> U61(X1,X2)
     U61(X1,active(X2)) -> U61(X1,X2)
     U62(mark(X1),X2) -> U62(X1,X2)
     U62(X1,mark(X2)) -> U62(X1,X2)
     U62(active(X1),X2) -> U62(X1,X2)
     U62(X1,active(X2)) -> U62(X1,X2)
     isPLNatKind(mark(X)) -> isPLNatKind(X)
     isPLNatKind(active(X)) -> isPLNatKind(X)
     U63(mark(X)) -> U63(X)
     U63(active(X)) -> U63(X)
     isPLNat(mark(X)) -> isPLNat(X)
     isPLNat(active(X)) -> isPLNat(X)
     U71(mark(X1),X2) -> U71(X1,X2)
     U71(X1,mark(X2)) -> U71(X1,X2)
     U71(active(X1),X2) -> U71(X1,X2)
     U71(X1,active(X2)) -> U71(X1,X2)
     U72(mark(X1),X2) -> U72(X1,X2)
     U72(X1,mark(X2)) -> U72(X1,X2)
     U72(active(X1),X2) -> U72(X1,X2)
     U72(X1,active(X2)) -> U72(X1,X2)
     U73(mark(X)) -> U73(X)
     U73(active(X)) -> U73(X)
     U81(mark(X1),X2) -> U81(X1,X2)
     U81(X1,mark(X2)) -> U81(X1,X2)
     U81(active(X1),X2) -> U81(X1,X2)
     U81(X1,active(X2)) -> U81(X1,X2)
     U82(mark(X1),X2) -> U82(X1,X2)
     U82(X1,mark(X2)) -> U82(X1,X2)
     U82(active(X1),X2) -> U82(X1,X2)
     U82(X1,active(X2)) -> U82(X1,X2)
     U83(mark(X)) -> U83(X)
     U83(active(X)) -> U83(X)
     U91(mark(X1),X2) -> U91(X1,X2)
     U91(X1,mark(X2)) -> U91(X1,X2)
     U91(active(X1),X2) -> U91(X1,X2)
     U91(X1,active(X2)) -> U91(X1,X2)
     U92(mark(X1),X2) -> U92(X1,X2)
     U92(X1,mark(X2)) -> U92(X1,X2)
     U92(active(X1),X2) -> U92(X1,X2)
     U92(X1,active(X2)) -> U92(X1,X2)
     U93(mark(X)) -> U93(X)
     U93(active(X)) -> U93(X)
     tail(mark(X)) -> tail(X)
     tail(active(X)) -> tail(X)
     take(mark(X1),X2) -> take(X1,X2)
     take(X1,mark(X2)) -> take(X1,X2)
     take(active(X1),X2) -> take(X1,X2)
     take(X1,active(X2)) -> take(X1,X2)
     sel(mark(X1),X2) -> sel(X1,X2)
     sel(X1,mark(X2)) -> sel(X1,X2)
     sel(active(X1),X2) -> sel(X1,X2)
     sel(X1,active(X2)) -> sel(X1,X2)
    SCC Processor:
     #sccs: 130
     #rules: 965
     #arcs: 160761/1747684
     DPs:
      mark#(sel(X1,X2)) -> mark#(X2)
      mark#(U101(X1,X2,X3)) -> mark#(X1)
      mark#(U101(X1,X2,X3)) -> active#(U101(mark(X1),X2,X3))
      active#(U101(tt(),V1,V2)) -> mark#(U102(isNaturalKind(V1),V1,V2))
      mark#(tt()) -> active#(tt())
      active#(U102(tt(),V1,V2)) -> mark#(U103(isLNatKind(V2),V1,V2))
      mark#(U102(X1,X2,X3)) -> mark#(X1)
      mark#(U102(X1,X2,X3)) -> active#(U102(mark(X1),X2,X3))
      active#(U103(tt(),V1,V2)) -> mark#(U104(isLNatKind(V2),V1,V2))
      mark#(isNaturalKind(X)) -> active#(isNaturalKind(X))
      active#(U104(tt(),V1,V2)) -> mark#(U105(isNatural(V1),V2))
      mark#(U103(X1,X2,X3)) -> mark#(X1)
      mark#(U103(X1,X2,X3)) -> active#(U103(mark(X1),X2,X3))
      active#(U105(tt(),V2)) -> mark#(U106(isLNat(V2)))
      mark#(isLNatKind(X)) -> active#(isLNatKind(X))
      active#(U106(tt())) -> mark#(tt())
      mark#(U104(X1,X2,X3)) -> mark#(X1)
      mark#(U104(X1,X2,X3)) -> active#(U104(mark(X1),X2,X3))
      active#(U11(tt(),N,XS)) -> mark#(U12(isNaturalKind(N),N,XS))
      mark#(U105(X1,X2)) -> mark#(X1)
      mark#(U105(X1,X2)) -> active#(U105(mark(X1),X2))
      active#(U111(tt(),V2)) -> mark#(U112(isLNatKind(V2)))
      mark#(isNatural(X)) -> active#(isNatural(X))
      active#(U112(tt())) -> mark#(tt())
      mark#(U106(X)) -> mark#(X)
      mark#(U106(X)) -> active#(U106(mark(X)))
      active#(U12(tt(),N,XS)) -> mark#(U13(isLNat(XS),N,XS))
      mark#(isLNat(X)) -> active#(isLNat(X))
      active#(U121(tt(),V2)) -> mark#(U122(isLNatKind(V2)))
      mark#(U11(X1,X2,X3)) -> mark#(X1)
      mark#(U11(X1,X2,X3)) -> active#(U11(mark(X1),X2,X3))
      active#(U122(tt())) -> mark#(tt())
      mark#(U12(X1,X2,X3)) -> mark#(X1)
      mark#(U12(X1,X2,X3)) -> active#(U12(mark(X1),X2,X3))
      active#(U13(tt(),N,XS)) -> mark#(U14(isLNatKind(XS),N,XS))
      mark#(U111(X1,X2)) -> mark#(X1)
      mark#(U111(X1,X2)) -> active#(U111(mark(X1),X2))
      active#(U131(tt())) -> mark#(tt())
      mark#(U112(X)) -> mark#(X)
      mark#(U112(X)) -> active#(U112(mark(X)))
      active#(U14(tt(),N,XS)) -> mark#(snd(splitAt(N,XS)))
      mark#(U13(X1,X2,X3)) -> mark#(X1)
      mark#(U13(X1,X2,X3)) -> active#(U13(mark(X1),X2,X3))
      active#(U141(tt())) -> mark#(tt())
      mark#(U121(X1,X2)) -> mark#(X1)
      mark#(U121(X1,X2)) -> active#(U121(mark(X1),X2))
      active#(U151(tt())) -> mark#(tt())
      mark#(U122(X)) -> mark#(X)
      mark#(U122(X)) -> active#(U122(mark(X)))
      active#(U161(tt())) -> mark#(tt())
      mark#(U14(X1,X2,X3)) -> mark#(X1)
      mark#(U14(X1,X2,X3)) -> active#(U14(mark(X1),X2,X3))
      active#(U171(tt(),V2)) -> mark#(U172(isLNatKind(V2)))
      mark#(U131(X)) -> mark#(X)
      mark#(U131(X)) -> active#(U131(mark(X)))
      active#(U172(tt())) -> mark#(tt())
      mark#(snd(X)) -> mark#(X)
      mark#(snd(X)) -> active#(snd(mark(X)))
      active#(U181(tt(),V1)) -> mark#(U182(isLNatKind(V1),V1))
      mark#(splitAt(X1,X2)) -> mark#(X2)
      mark#(splitAt(X1,X2)) -> mark#(X1)
      mark#(splitAt(X1,X2)) -> active#(splitAt(mark(X1),mark(X2)))
      active#(U182(tt(),V1)) -> mark#(U183(isLNat(V1)))
      mark#(U141(X)) -> mark#(X)
      mark#(U141(X)) -> active#(U141(mark(X)))
      active#(U183(tt())) -> mark#(tt())
      mark#(U151(X)) -> mark#(X)
      mark#(U151(X)) -> active#(U151(mark(X)))
      active#(U191(tt(),V1)) -> mark#(U192(isNaturalKind(V1),V1))
      mark#(U161(X)) -> mark#(X)
      mark#(U161(X)) -> active#(U161(mark(X)))
      active#(U192(tt(),V1)) -> mark#(U193(isNatural(V1)))
      mark#(U171(X1,X2)) -> mark#(X1)
      mark#(U171(X1,X2)) -> active#(U171(mark(X1),X2))
      active#(U193(tt())) -> mark#(tt())
      mark#(U172(X)) -> mark#(X)
      mark#(U172(X)) -> active#(U172(mark(X)))
      active#(U201(tt(),V1,V2)) -> mark#(U202(isNaturalKind(V1),V1,V2))
      mark#(U181(X1,X2)) -> mark#(X1)
      mark#(U181(X1,X2)) -> active#(U181(mark(X1),X2))
      active#(U202(tt(),V1,V2)) -> mark#(U203(isLNatKind(V2),V1,V2))
      mark#(U182(X1,X2)) -> mark#(X1)
      mark#(U182(X1,X2)) -> active#(U182(mark(X1),X2))
      active#(U203(tt(),V1,V2)) -> mark#(U204(isLNatKind(V2),V1,V2))
      mark#(U183(X)) -> mark#(X)
      mark#(U183(X)) -> active#(U183(mark(X)))
      active#(U204(tt(),V1,V2)) -> mark#(U205(isNatural(V1),V2))
      mark#(U191(X1,X2)) -> mark#(X1)
      mark#(U191(X1,X2)) -> active#(U191(mark(X1),X2))
      active#(U205(tt(),V2)) -> mark#(U206(isLNat(V2)))
      mark#(U192(X1,X2)) -> mark#(X1)
      mark#(U192(X1,X2)) -> active#(U192(mark(X1),X2))
      active#(U206(tt())) -> mark#(tt())
      mark#(U193(X)) -> mark#(X)
      mark#(U193(X)) -> active#(U193(mark(X)))
      active#(U21(tt(),X,Y)) -> mark#(U22(isLNatKind(X),X,Y))
      mark#(U201(X1,X2,X3)) -> mark#(X1)
      mark#(U201(X1,X2,X3)) -> active#(U201(mark(X1),X2,X3))
      active#(U211(tt())) -> mark#(tt())
      mark#(U202(X1,X2,X3)) -> mark#(X1)
      mark#(U202(X1,X2,X3)) -> active#(U202(mark(X1),X2,X3))
      active#(U22(tt(),X,Y)) -> mark#(U23(isLNat(Y),X,Y))
      mark#(U203(X1,X2,X3)) -> mark#(X1)
      mark#(U203(X1,X2,X3)) -> active#(U203(mark(X1),X2,X3))
      active#(U221(tt())) -> mark#(tt())
      mark#(U204(X1,X2,X3)) -> mark#(X1)
      mark#(U204(X1,X2,X3)) -> active#(U204(mark(X1),X2,X3))
      active#(U23(tt(),X,Y)) -> mark#(U24(isLNatKind(Y),X))
      mark#(U205(X1,X2)) -> mark#(X1)
      mark#(U205(X1,X2)) -> active#(U205(mark(X1),X2))
      active#(U231(tt(),V2)) -> mark#(U232(isLNatKind(V2)))
      mark#(U206(X)) -> mark#(X)
      mark#(U206(X)) -> active#(U206(mark(X)))
      active#(U232(tt())) -> mark#(tt())
      mark#(U21(X1,X2,X3)) -> mark#(X1)
      mark#(U21(X1,X2,X3)) -> active#(U21(mark(X1),X2,X3))
      active#(U24(tt(),X)) -> mark#(X)
      mark#(U22(X1,X2,X3)) -> mark#(X1)
      mark#(U22(X1,X2,X3)) -> active#(U22(mark(X1),X2,X3))
      active#(U241(tt(),V1,V2)) -> mark#(U242(isLNatKind(V1),V1,V2))
      mark#(U211(X)) -> mark#(X)
      mark#(U211(X)) -> active#(U211(mark(X)))
      active#(U242(tt(),V1,V2)) -> mark#(U243(isLNatKind(V2),V1,V2))
      mark#(U23(X1,X2,X3)) -> mark#(X1)
      mark#(U23(X1,X2,X3)) -> active#(U23(mark(X1),X2,X3))
      active#(U243(tt(),V1,V2)) -> mark#(U244(isLNatKind(V2),V1,V2))
      mark#(U221(X)) -> mark#(X)
      mark#(U221(X)) -> active#(U221(mark(X)))
      active#(U244(tt(),V1,V2)) -> mark#(U245(isLNat(V1),V2))
      mark#(U24(X1,X2)) -> mark#(X1)
      mark#(U24(X1,X2)) -> active#(U24(mark(X1),X2))
      active#(U245(tt(),V2)) -> mark#(U246(isLNat(V2)))
      mark#(U231(X1,X2)) -> mark#(X1)
      mark#(U231(X1,X2)) -> active#(U231(mark(X1),X2))
      active#(U246(tt())) -> mark#(tt())
      mark#(U232(X)) -> mark#(X)
      mark#(U232(X)) -> active#(U232(mark(X)))
      active#(U251(tt(),V1,V2)) -> mark#(U252(isNaturalKind(V1),V1,V2))
      mark#(U241(X1,X2,X3)) -> mark#(X1)
      mark#(U241(X1,X2,X3)) -> active#(U241(mark(X1),X2,X3))
      active#(U252(tt(),V1,V2)) -> mark#(U253(isLNatKind(V2),V1,V2))
      mark#(U242(X1,X2,X3)) -> mark#(X1)
      mark#(U242(X1,X2,X3)) -> active#(U242(mark(X1),X2,X3))
      active#(U253(tt(),V1,V2)) -> mark#(U254(isLNatKind(V2),V1,V2))
      mark#(U243(X1,X2,X3)) -> mark#(X1)
      mark#(U243(X1,X2,X3)) -> active#(U243(mark(X1),X2,X3))
      active#(U254(tt(),V1,V2)) -> mark#(U255(isNatural(V1),V2))
      mark#(U244(X1,X2,X3)) -> mark#(X1)
      mark#(U244(X1,X2,X3)) -> active#(U244(mark(X1),X2,X3))
      active#(U255(tt(),V2)) -> mark#(U256(isLNat(V2)))
      mark#(U245(X1,X2)) -> mark#(X1)
      mark#(U245(X1,X2)) -> active#(U245(mark(X1),X2))
      active#(U256(tt())) -> mark#(tt())
      mark#(U246(X)) -> mark#(X)
      mark#(U246(X)) -> active#(U246(mark(X)))
      active#(U261(tt(),V2)) -> mark#(U262(isLNatKind(V2)))
      mark#(U251(X1,X2,X3)) -> mark#(X1)
      mark#(U251(X1,X2,X3)) -> active#(U251(mark(X1),X2,X3))
      active#(U262(tt())) -> mark#(tt())
      mark#(U252(X1,X2,X3)) -> mark#(X1)
      mark#(U252(X1,X2,X3)) -> active#(U252(mark(X1),X2,X3))
      active#(U271(tt(),V2)) -> mark#(U272(isLNatKind(V2)))
      mark#(U253(X1,X2,X3)) -> mark#(X1)
      mark#(U253(X1,X2,X3)) -> active#(U253(mark(X1),X2,X3))
      active#(U272(tt())) -> mark#(tt())
      mark#(U254(X1,X2,X3)) -> mark#(X1)
      mark#(U254(X1,X2,X3)) -> active#(U254(mark(X1),X2,X3))
      active#(U281(tt(),N)) -> mark#(U282(isNaturalKind(N),N))
      mark#(U255(X1,X2)) -> mark#(X1)
      mark#(U255(X1,X2)) -> active#(U255(mark(X1),X2))
      active#(U282(tt(),N)) -> mark#(cons(N,natsFrom(s(N))))
      mark#(U256(X)) -> mark#(X)
      mark#(U256(X)) -> active#(U256(mark(X)))
      active#(U291(tt(),N,XS)) -> mark#(U292(isNaturalKind(N),N,XS))
      mark#(U261(X1,X2)) -> mark#(X1)
      mark#(U261(X1,X2)) -> active#(U261(mark(X1),X2))
      active#(U292(tt(),N,XS)) -> mark#(U293(isLNat(XS),N,XS))
      mark#(U262(X)) -> mark#(X)
      mark#(U262(X)) -> active#(U262(mark(X)))
      active#(U293(tt(),N,XS)) -> mark#(U294(isLNatKind(XS),N,XS))
      mark#(U271(X1,X2)) -> mark#(X1)
      mark#(U271(X1,X2)) -> active#(U271(mark(X1),X2))
      active#(U294(tt(),N,XS)) -> mark#(head(afterNth(N,XS)))
      mark#(U272(X)) -> mark#(X)
      mark#(U272(X)) -> active#(U272(mark(X)))
      active#(U301(tt(),X,Y)) -> mark#(U302(isLNatKind(X),Y))
      mark#(U281(X1,X2)) -> mark#(X1)
      mark#(U281(X1,X2)) -> active#(U281(mark(X1),X2))
      active#(U302(tt(),Y)) -> mark#(U303(isLNat(Y),Y))
      mark#(U282(X1,X2)) -> mark#(X1)
      mark#(U282(X1,X2)) -> active#(U282(mark(X1),X2))
      active#(U303(tt(),Y)) -> mark#(U304(isLNatKind(Y),Y))
      mark#(cons(X1,X2)) -> mark#(X1)
      mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2))
      active#(U304(tt(),Y)) -> mark#(Y)
      mark#(natsFrom(X)) -> mark#(X)
      mark#(natsFrom(X)) -> active#(natsFrom(mark(X)))
      active#(U31(tt(),N,XS)) -> mark#(U32(isNaturalKind(N),N,XS))
      mark#(s(X)) -> mark#(X)
      mark#(s(X)) -> active#(s(mark(X)))
      active#(U311(tt(),XS)) -> mark#(U312(isLNatKind(XS),XS))
      mark#(U291(X1,X2,X3)) -> mark#(X1)
      mark#(U291(X1,X2,X3)) -> active#(U291(mark(X1),X2,X3))
      active#(U312(tt(),XS)) -> mark#(pair(nil(),XS))
      mark#(U292(X1,X2,X3)) -> mark#(X1)
      mark#(U292(X1,X2,X3)) -> active#(U292(mark(X1),X2,X3))
      active#(U32(tt(),N,XS)) -> mark#(U33(isLNat(XS),N,XS))
      mark#(U293(X1,X2,X3)) -> mark#(X1)
      mark#(U293(X1,X2,X3)) -> active#(U293(mark(X1),X2,X3))
      active#(U321(tt(),N,X,XS)) -> mark#(U322(isNaturalKind(N),N,X,XS))
      mark#(U294(X1,X2,X3)) -> mark#(X1)
      mark#(U294(X1,X2,X3)) -> active#(U294(mark(X1),X2,X3))
      active#(U322(tt(),N,X,XS)) -> mark#(U323(isNatural(X),N,X,XS))
      mark#(head(X)) -> mark#(X)
      mark#(head(X)) -> active#(head(mark(X)))
      active#(U323(tt(),N,X,XS)) -> mark#(U324(isNaturalKind(X),N,X,XS))
      mark#(afterNth(X1,X2)) -> mark#(X2)
      mark#(afterNth(X1,X2)) -> mark#(X1)
      mark#(afterNth(X1,X2)) -> active#(afterNth(mark(X1),mark(X2)))
      active#(U324(tt(),N,X,XS)) -> mark#(U325(isLNat(XS),N,X,XS))
      mark#(U301(X1,X2,X3)) -> mark#(X1)
      mark#(U301(X1,X2,X3)) -> active#(U301(mark(X1),X2,X3))
      active#(U325(tt(),N,X,XS)) -> mark#(U326(isLNatKind(XS),N,X,XS))
      mark#(U302(X1,X2)) -> mark#(X1)
      mark#(U302(X1,X2)) -> active#(U302(mark(X1),X2))
      active#(U326(tt(),N,X,XS)) -> mark#(U327(splitAt(N,XS),X))
      mark#(U303(X1,X2)) -> mark#(X1)
      mark#(U303(X1,X2)) -> active#(U303(mark(X1),X2))
      active#(U327(pair(YS,ZS),X)) -> mark#(pair(cons(X,YS),ZS))
      mark#(U304(X1,X2)) -> mark#(X1)
      mark#(U304(X1,X2)) -> active#(U304(mark(X1),X2))
      active#(U33(tt(),N,XS)) -> mark#(U34(isLNatKind(XS),N))
      mark#(U31(X1,X2,X3)) -> mark#(X1)
      mark#(U31(X1,X2,X3)) -> active#(U31(mark(X1),X2,X3))
      active#(U331(tt(),N,XS)) -> mark#(U332(isNaturalKind(N),XS))
      mark#(U32(X1,X2,X3)) -> mark#(X1)
      mark#(U32(X1,X2,X3)) -> active#(U32(mark(X1),X2,X3))
      active#(U332(tt(),XS)) -> mark#(U333(isLNat(XS),XS))
      mark#(U311(X1,X2)) -> mark#(X1)
      mark#(U311(X1,X2)) -> active#(U311(mark(X1),X2))
      active#(U333(tt(),XS)) -> mark#(U334(isLNatKind(XS),XS))
      mark#(U312(X1,X2)) -> mark#(X1)
      mark#(U312(X1,X2)) -> active#(U312(mark(X1),X2))
      active#(U334(tt(),XS)) -> mark#(XS)
      mark#(pair(X1,X2)) -> mark#(X2)
      mark#(pair(X1,X2)) -> mark#(X1)
      mark#(pair(X1,X2)) -> active#(pair(mark(X1),mark(X2)))
      active#(U34(tt(),N)) -> mark#(N)
      mark#(nil()) -> active#(nil())
      active#(U341(tt(),N,XS)) -> mark#(U342(isNaturalKind(N),N,XS))
      mark#(U33(X1,X2,X3)) -> mark#(X1)
      mark#(U33(X1,X2,X3)) -> active#(U33(mark(X1),X2,X3))
      active#(U342(tt(),N,XS)) -> mark#(U343(isLNat(XS),N,XS))
      mark#(U321(X1,X2,X3,X4)) -> mark#(X1)
      mark#(U321(X1,X2,X3,X4)) -> active#(U321(mark(X1),X2,X3,X4))
      active#(U343(tt(),N,XS)) -> mark#(U344(isLNatKind(XS),N,XS))
      mark#(U322(X1,X2,X3,X4)) -> mark#(X1)
      mark#(U322(X1,X2,X3,X4)) -> active#(U322(mark(X1),X2,X3,X4))
      active#(U344(tt(),N,XS)) -> mark#(fst(splitAt(N,XS)))
      mark#(U323(X1,X2,X3,X4)) -> mark#(X1)
      mark#(U323(X1,X2,X3,X4)) -> active#(U323(mark(X1),X2,X3,X4))
      active#(U41(tt(),V1,V2)) -> mark#(U42(isNaturalKind(V1),V1,V2))
      mark#(U324(X1,X2,X3,X4)) -> mark#(X1)
      mark#(U324(X1,X2,X3,X4)) -> active#(U324(mark(X1),X2,X3,X4))
      active#(U42(tt(),V1,V2)) -> mark#(U43(isLNatKind(V2),V1,V2))
      mark#(U325(X1,X2,X3,X4)) -> mark#(X1)
      mark#(U325(X1,X2,X3,X4)) -> active#(U325(mark(X1),X2,X3,X4))
      active#(U43(tt(),V1,V2)) -> mark#(U44(isLNatKind(V2),V1,V2))
      mark#(U326(X1,X2,X3,X4)) -> mark#(X1)
      mark#(U326(X1,X2,X3,X4)) -> active#(U326(mark(X1),X2,X3,X4))
      active#(U44(tt(),V1,V2)) -> mark#(U45(isNatural(V1),V2))
      mark#(U327(X1,X2)) -> mark#(X1)
      mark#(U327(X1,X2)) -> active#(U327(mark(X1),X2))
      active#(U45(tt(),V2)) -> mark#(U46(isLNat(V2)))
      mark#(U34(X1,X2)) -> mark#(X1)
      mark#(U34(X1,X2)) -> active#(U34(mark(X1),X2))
      active#(U46(tt())) -> mark#(tt())
      mark#(U331(X1,X2,X3)) -> mark#(X1)
      mark#(U331(X1,X2,X3)) -> active#(U331(mark(X1),X2,X3))
      active#(U51(tt(),V1,V2)) -> mark#(U52(isNaturalKind(V1),V1,V2))
      mark#(U332(X1,X2)) -> mark#(X1)
      mark#(U332(X1,X2)) -> active#(U332(mark(X1),X2))
      active#(U52(tt(),V1,V2)) -> mark#(U53(isLNatKind(V2),V1,V2))
      mark#(U333(X1,X2)) -> mark#(X1)
      mark#(U333(X1,X2)) -> active#(U333(mark(X1),X2))
      active#(U53(tt(),V1,V2)) -> mark#(U54(isLNatKind(V2),V1,V2))
      mark#(U334(X1,X2)) -> mark#(X1)
      mark#(U334(X1,X2)) -> active#(U334(mark(X1),X2))
      active#(U54(tt(),V1,V2)) -> mark#(U55(isNatural(V1),V2))
      mark#(U341(X1,X2,X3)) -> mark#(X1)
      mark#(U341(X1,X2,X3)) -> active#(U341(mark(X1),X2,X3))
      active#(U55(tt(),V2)) -> mark#(U56(isLNat(V2)))
      mark#(U342(X1,X2,X3)) -> mark#(X1)
      mark#(U342(X1,X2,X3)) -> active#(U342(mark(X1),X2,X3))
      active#(U56(tt())) -> mark#(tt())
      mark#(U343(X1,X2,X3)) -> mark#(X1)
      mark#(U343(X1,X2,X3)) -> active#(U343(mark(X1),X2,X3))
      active#(U61(tt(),V1)) -> mark#(U62(isPLNatKind(V1),V1))
      mark#(U344(X1,X2,X3)) -> mark#(X1)
      mark#(U344(X1,X2,X3)) -> active#(U344(mark(X1),X2,X3))
      active#(U62(tt(),V1)) -> mark#(U63(isPLNat(V1)))
      mark#(fst(X)) -> mark#(X)
      mark#(fst(X)) -> active#(fst(mark(X)))
      active#(U63(tt())) -> mark#(tt())
      mark#(U41(X1,X2,X3)) -> mark#(X1)
      mark#(U41(X1,X2,X3)) -> active#(U41(mark(X1),X2,X3))
      active#(U71(tt(),V1)) -> mark#(U72(isNaturalKind(V1),V1))
      mark#(U42(X1,X2,X3)) -> mark#(X1)
      mark#(U42(X1,X2,X3)) -> active#(U42(mark(X1),X2,X3))
      active#(U72(tt(),V1)) -> mark#(U73(isNatural(V1)))
      mark#(U43(X1,X2,X3)) -> mark#(X1)
      mark#(U43(X1,X2,X3)) -> active#(U43(mark(X1),X2,X3))
      active#(U73(tt())) -> mark#(tt())
      mark#(U44(X1,X2,X3)) -> mark#(X1)
      mark#(U44(X1,X2,X3)) -> active#(U44(mark(X1),X2,X3))
      active#(U81(tt(),V1)) -> mark#(U82(isPLNatKind(V1),V1))
      mark#(U45(X1,X2)) -> mark#(X1)
      mark#(U45(X1,X2)) -> active#(U45(mark(X1),X2))
      active#(U82(tt(),V1)) -> mark#(U83(isPLNat(V1)))
      mark#(U46(X)) -> mark#(X)
      mark#(U46(X)) -> active#(U46(mark(X)))
      active#(U83(tt())) -> mark#(tt())
      mark#(U51(X1,X2,X3)) -> mark#(X1)
      mark#(U51(X1,X2,X3)) -> active#(U51(mark(X1),X2,X3))
      active#(U91(tt(),V1)) -> mark#(U92(isLNatKind(V1),V1))
      mark#(U52(X1,X2,X3)) -> mark#(X1)
      mark#(U52(X1,X2,X3)) -> active#(U52(mark(X1),X2,X3))
      active#(U92(tt(),V1)) -> mark#(U93(isLNat(V1)))
      mark#(U53(X1,X2,X3)) -> mark#(X1)
      mark#(U53(X1,X2,X3)) -> active#(U53(mark(X1),X2,X3))
      active#(U93(tt())) -> mark#(tt())
      mark#(U54(X1,X2,X3)) -> mark#(X1)
      mark#(U54(X1,X2,X3)) -> active#(U54(mark(X1),X2,X3))
      active#(afterNth(N,XS)) -> mark#(U11(isNatural(N),N,XS))
      mark#(U55(X1,X2)) -> mark#(X1)
      mark#(U55(X1,X2)) -> active#(U55(mark(X1),X2))
      active#(fst(pair(X,Y))) -> mark#(U21(isLNat(X),X,Y))
      mark#(U56(X)) -> mark#(X)
      mark#(U56(X)) -> active#(U56(mark(X)))
      active#(head(cons(N,XS))) -> mark#(U31(isNatural(N),N,XS))
      mark#(U61(X1,X2)) -> mark#(X1)
      mark#(U61(X1,X2)) -> active#(U61(mark(X1),X2))
      active#(isLNat(nil())) -> mark#(tt())
      mark#(U62(X1,X2)) -> mark#(X1)
      mark#(U62(X1,X2)) -> active#(U62(mark(X1),X2))
      active#(isLNat(afterNth(V1,V2))) -> mark#(U41(isNaturalKind(V1),V1,V2))
      mark#(isPLNatKind(X)) -> active#(isPLNatKind(X))
      active#(isLNat(cons(V1,V2))) -> mark#(U51(isNaturalKind(V1),V1,V2))
      mark#(U63(X)) -> mark#(X)
      mark#(U63(X)) -> active#(U63(mark(X)))
      active#(isLNat(fst(V1))) -> mark#(U61(isPLNatKind(V1),V1))
      mark#(isPLNat(X)) -> active#(isPLNat(X))
      active#(isLNat(natsFrom(V1))) -> mark#(U71(isNaturalKind(V1),V1))
      mark#(U71(X1,X2)) -> mark#(X1)
      mark#(U71(X1,X2)) -> active#(U71(mark(X1),X2))
      active#(isLNat(snd(V1))) -> mark#(U81(isPLNatKind(V1),V1))
      mark#(U72(X1,X2)) -> mark#(X1)
      mark#(U72(X1,X2)) -> active#(U72(mark(X1),X2))
      active#(isLNat(tail(V1))) -> mark#(U91(isLNatKind(V1),V1))
      mark#(U73(X)) -> mark#(X)
      mark#(U73(X)) -> active#(U73(mark(X)))
      active#(isLNat(take(V1,V2))) -> mark#(U101(isNaturalKind(V1),V1,V2))
      mark#(U81(X1,X2)) -> mark#(X1)
      mark#(U81(X1,X2)) -> active#(U81(mark(X1),X2))
      active#(isLNatKind(nil())) -> mark#(tt())
      mark#(U82(X1,X2)) -> mark#(X1)
      mark#(U82(X1,X2)) -> active#(U82(mark(X1),X2))
      active#(isLNatKind(afterNth(V1,V2))) -> mark#(U111(isNaturalKind(V1),V2))
      mark#(U83(X)) -> mark#(X)
      mark#(U83(X)) -> active#(U83(mark(X)))
      active#(isLNatKind(cons(V1,V2))) -> mark#(U121(isNaturalKind(V1),V2))
      mark#(U91(X1,X2)) -> mark#(X1)
      mark#(U91(X1,X2)) -> active#(U91(mark(X1),X2))
      active#(isLNatKind(fst(V1))) -> mark#(U131(isPLNatKind(V1)))
      mark#(U92(X1,X2)) -> mark#(X1)
      mark#(U92(X1,X2)) -> active#(U92(mark(X1),X2))
      active#(isLNatKind(natsFrom(V1))) -> mark#(U141(isNaturalKind(V1)))
      mark#(U93(X)) -> mark#(X)
      mark#(U93(X)) -> active#(U93(mark(X)))
      active#(isLNatKind(snd(V1))) -> mark#(U151(isPLNatKind(V1)))
      mark#(tail(X)) -> mark#(X)
      mark#(tail(X)) -> active#(tail(mark(X)))
      active#(isLNatKind(tail(V1))) -> mark#(U161(isLNatKind(V1)))
      mark#(take(X1,X2)) -> mark#(X2)
      mark#(take(X1,X2)) -> mark#(X1)
      mark#(take(X1,X2)) -> active#(take(mark(X1),mark(X2)))
      active#(isLNatKind(take(V1,V2))) -> mark#(U171(isNaturalKind(V1),V2))
      mark#(0()) -> active#(0())
      active#(isNatural(0())) -> mark#(tt())
      mark#(sel(X1,X2)) -> mark#(X1)
      mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2)))
      active#(isNatural(head(V1))) -> mark#(U181(isLNatKind(V1),V1))
      active#(isNatural(s(V1))) -> mark#(U191(isNaturalKind(V1),V1))
      active#(isNatural(sel(V1,V2))) -> mark#(U201(isNaturalKind(V1),V1,V2))
      active#(isNaturalKind(0())) -> mark#(tt())
      active#(isNaturalKind(head(V1))) -> mark#(U211(isLNatKind(V1)))
      active#(isNaturalKind(s(V1))) -> mark#(U221(isNaturalKind(V1)))
      active#(isNaturalKind(sel(V1,V2))) -> mark#(U231(isNaturalKind(V1),V2))
      active#(isPLNat(pair(V1,V2))) -> mark#(U241(isLNatKind(V1),V1,V2))
      active#(isPLNat(splitAt(V1,V2))) -> mark#(U251(isNaturalKind(V1),V1,V2))
      active#(isPLNatKind(pair(V1,V2))) -> mark#(U261(isLNatKind(V1),V2))
      active#(isPLNatKind(splitAt(V1,V2))) -> mark#(U271(isNaturalKind(V1),V2))
      active#(natsFrom(N)) -> mark#(U281(isNatural(N),N))
      active#(sel(N,XS)) -> mark#(U291(isNatural(N),N,XS))
      active#(snd(pair(X,Y))) -> mark#(U301(isLNat(X),X,Y))
      active#(splitAt(0(),XS)) -> mark#(U311(isLNat(XS),XS))
      active#(splitAt(s(N),cons(X,XS))) -> mark#(U321(isNatural(N),N,X,XS))
      active#(tail(cons(N,XS))) -> mark#(U331(isNatural(N),N,XS))
      active#(take(N,XS)) -> mark#(U341(isNatural(N),N,XS))
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U102#(mark(X1),X2,X3) -> U102#(X1,X2,X3)
      U102#(X1,mark(X2),X3) -> U102#(X1,X2,X3)
      U102#(X1,X2,mark(X3)) -> U102#(X1,X2,X3)
      U102#(active(X1),X2,X3) -> U102#(X1,X2,X3)
      U102#(X1,active(X2),X3) -> U102#(X1,X2,X3)
      U102#(X1,X2,active(X3)) -> U102#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      isNaturalKind#(mark(X)) -> isNaturalKind#(X)
      isNaturalKind#(active(X)) -> isNaturalKind#(X)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      isLNatKind#(mark(X)) -> isLNatKind#(X)
      isLNatKind#(active(X)) -> isLNatKind#(X)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U103#(mark(X1),X2,X3) -> U103#(X1,X2,X3)
      U103#(X1,mark(X2),X3) -> U103#(X1,X2,X3)
      U103#(X1,X2,mark(X3)) -> U103#(X1,X2,X3)
      U103#(active(X1),X2,X3) -> U103#(X1,X2,X3)
      U103#(X1,active(X2),X3) -> U103#(X1,X2,X3)
      U103#(X1,X2,active(X3)) -> U103#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U104#(mark(X1),X2,X3) -> U104#(X1,X2,X3)
      U104#(X1,mark(X2),X3) -> U104#(X1,X2,X3)
      U104#(X1,X2,mark(X3)) -> U104#(X1,X2,X3)
      U104#(active(X1),X2,X3) -> U104#(X1,X2,X3)
      U104#(X1,active(X2),X3) -> U104#(X1,X2,X3)
      U104#(X1,X2,active(X3)) -> U104#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      isNatural#(mark(X)) -> isNatural#(X)
      isNatural#(active(X)) -> isNatural#(X)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U105#(mark(X1),X2) -> U105#(X1,X2)
      U105#(X1,mark(X2)) -> U105#(X1,X2)
      U105#(active(X1),X2) -> U105#(X1,X2)
      U105#(X1,active(X2)) -> U105#(X1,X2)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      isLNat#(mark(X)) -> isLNat#(X)
      isLNat#(active(X)) -> isLNat#(X)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U106#(mark(X)) -> U106#(X)
      U106#(active(X)) -> U106#(X)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U12#(mark(X1),X2,X3) -> U12#(X1,X2,X3)
      U12#(X1,mark(X2),X3) -> U12#(X1,X2,X3)
      U12#(X1,X2,mark(X3)) -> U12#(X1,X2,X3)
      U12#(active(X1),X2,X3) -> U12#(X1,X2,X3)
      U12#(X1,active(X2),X3) -> U12#(X1,X2,X3)
      U12#(X1,X2,active(X3)) -> U12#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U112#(mark(X)) -> U112#(X)
      U112#(active(X)) -> U112#(X)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U13#(mark(X1),X2,X3) -> U13#(X1,X2,X3)
      U13#(X1,mark(X2),X3) -> U13#(X1,X2,X3)
      U13#(X1,X2,mark(X3)) -> U13#(X1,X2,X3)
      U13#(active(X1),X2,X3) -> U13#(X1,X2,X3)
      U13#(X1,active(X2),X3) -> U13#(X1,X2,X3)
      U13#(X1,X2,active(X3)) -> U13#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U122#(mark(X)) -> U122#(X)
      U122#(active(X)) -> U122#(X)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U14#(mark(X1),X2,X3) -> U14#(X1,X2,X3)
      U14#(X1,mark(X2),X3) -> U14#(X1,X2,X3)
      U14#(X1,X2,mark(X3)) -> U14#(X1,X2,X3)
      U14#(active(X1),X2,X3) -> U14#(X1,X2,X3)
      U14#(X1,active(X2),X3) -> U14#(X1,X2,X3)
      U14#(X1,X2,active(X3)) -> U14#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      splitAt#(mark(X1),X2) -> splitAt#(X1,X2)
      splitAt#(X1,mark(X2)) -> splitAt#(X1,X2)
      splitAt#(active(X1),X2) -> splitAt#(X1,X2)
      splitAt#(X1,active(X2)) -> splitAt#(X1,X2)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      snd#(mark(X)) -> snd#(X)
      snd#(active(X)) -> snd#(X)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U172#(mark(X)) -> U172#(X)
      U172#(active(X)) -> U172#(X)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U182#(mark(X1),X2) -> U182#(X1,X2)
      U182#(X1,mark(X2)) -> U182#(X1,X2)
      U182#(active(X1),X2) -> U182#(X1,X2)
      U182#(X1,active(X2)) -> U182#(X1,X2)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U183#(mark(X)) -> U183#(X)
      U183#(active(X)) -> U183#(X)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U192#(mark(X1),X2) -> U192#(X1,X2)
      U192#(X1,mark(X2)) -> U192#(X1,X2)
      U192#(active(X1),X2) -> U192#(X1,X2)
      U192#(X1,active(X2)) -> U192#(X1,X2)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U193#(mark(X)) -> U193#(X)
      U193#(active(X)) -> U193#(X)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U202#(mark(X1),X2,X3) -> U202#(X1,X2,X3)
      U202#(X1,mark(X2),X3) -> U202#(X1,X2,X3)
      U202#(X1,X2,mark(X3)) -> U202#(X1,X2,X3)
      U202#(active(X1),X2,X3) -> U202#(X1,X2,X3)
      U202#(X1,active(X2),X3) -> U202#(X1,X2,X3)
      U202#(X1,X2,active(X3)) -> U202#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U203#(mark(X1),X2,X3) -> U203#(X1,X2,X3)
      U203#(X1,mark(X2),X3) -> U203#(X1,X2,X3)
      U203#(X1,X2,mark(X3)) -> U203#(X1,X2,X3)
      U203#(active(X1),X2,X3) -> U203#(X1,X2,X3)
      U203#(X1,active(X2),X3) -> U203#(X1,X2,X3)
      U203#(X1,X2,active(X3)) -> U203#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U204#(mark(X1),X2,X3) -> U204#(X1,X2,X3)
      U204#(X1,mark(X2),X3) -> U204#(X1,X2,X3)
      U204#(X1,X2,mark(X3)) -> U204#(X1,X2,X3)
      U204#(active(X1),X2,X3) -> U204#(X1,X2,X3)
      U204#(X1,active(X2),X3) -> U204#(X1,X2,X3)
      U204#(X1,X2,active(X3)) -> U204#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U205#(mark(X1),X2) -> U205#(X1,X2)
      U205#(X1,mark(X2)) -> U205#(X1,X2)
      U205#(active(X1),X2) -> U205#(X1,X2)
      U205#(X1,active(X2)) -> U205#(X1,X2)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U206#(mark(X)) -> U206#(X)
      U206#(active(X)) -> U206#(X)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U22#(mark(X1),X2,X3) -> U22#(X1,X2,X3)
      U22#(X1,mark(X2),X3) -> U22#(X1,X2,X3)
      U22#(X1,X2,mark(X3)) -> U22#(X1,X2,X3)
      U22#(active(X1),X2,X3) -> U22#(X1,X2,X3)
      U22#(X1,active(X2),X3) -> U22#(X1,X2,X3)
      U22#(X1,X2,active(X3)) -> U22#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U23#(mark(X1),X2,X3) -> U23#(X1,X2,X3)
      U23#(X1,mark(X2),X3) -> U23#(X1,X2,X3)
      U23#(X1,X2,mark(X3)) -> U23#(X1,X2,X3)
      U23#(active(X1),X2,X3) -> U23#(X1,X2,X3)
      U23#(X1,active(X2),X3) -> U23#(X1,X2,X3)
      U23#(X1,X2,active(X3)) -> U23#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U24#(mark(X1),X2) -> U24#(X1,X2)
      U24#(X1,mark(X2)) -> U24#(X1,X2)
      U24#(active(X1),X2) -> U24#(X1,X2)
      U24#(X1,active(X2)) -> U24#(X1,X2)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U232#(mark(X)) -> U232#(X)
      U232#(active(X)) -> U232#(X)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U242#(mark(X1),X2,X3) -> U242#(X1,X2,X3)
      U242#(X1,mark(X2),X3) -> U242#(X1,X2,X3)
      U242#(X1,X2,mark(X3)) -> U242#(X1,X2,X3)
      U242#(active(X1),X2,X3) -> U242#(X1,X2,X3)
      U242#(X1,active(X2),X3) -> U242#(X1,X2,X3)
      U242#(X1,X2,active(X3)) -> U242#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U243#(mark(X1),X2,X3) -> U243#(X1,X2,X3)
      U243#(X1,mark(X2),X3) -> U243#(X1,X2,X3)
      U243#(X1,X2,mark(X3)) -> U243#(X1,X2,X3)
      U243#(active(X1),X2,X3) -> U243#(X1,X2,X3)
      U243#(X1,active(X2),X3) -> U243#(X1,X2,X3)
      U243#(X1,X2,active(X3)) -> U243#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U244#(mark(X1),X2,X3) -> U244#(X1,X2,X3)
      U244#(X1,mark(X2),X3) -> U244#(X1,X2,X3)
      U244#(X1,X2,mark(X3)) -> U244#(X1,X2,X3)
      U244#(active(X1),X2,X3) -> U244#(X1,X2,X3)
      U244#(X1,active(X2),X3) -> U244#(X1,X2,X3)
      U244#(X1,X2,active(X3)) -> U244#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U245#(mark(X1),X2) -> U245#(X1,X2)
      U245#(X1,mark(X2)) -> U245#(X1,X2)
      U245#(active(X1),X2) -> U245#(X1,X2)
      U245#(X1,active(X2)) -> U245#(X1,X2)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U246#(mark(X)) -> U246#(X)
      U246#(active(X)) -> U246#(X)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U252#(mark(X1),X2,X3) -> U252#(X1,X2,X3)
      U252#(X1,mark(X2),X3) -> U252#(X1,X2,X3)
      U252#(X1,X2,mark(X3)) -> U252#(X1,X2,X3)
      U252#(active(X1),X2,X3) -> U252#(X1,X2,X3)
      U252#(X1,active(X2),X3) -> U252#(X1,X2,X3)
      U252#(X1,X2,active(X3)) -> U252#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U253#(mark(X1),X2,X3) -> U253#(X1,X2,X3)
      U253#(X1,mark(X2),X3) -> U253#(X1,X2,X3)
      U253#(X1,X2,mark(X3)) -> U253#(X1,X2,X3)
      U253#(active(X1),X2,X3) -> U253#(X1,X2,X3)
      U253#(X1,active(X2),X3) -> U253#(X1,X2,X3)
      U253#(X1,X2,active(X3)) -> U253#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U254#(mark(X1),X2,X3) -> U254#(X1,X2,X3)
      U254#(X1,mark(X2),X3) -> U254#(X1,X2,X3)
      U254#(X1,X2,mark(X3)) -> U254#(X1,X2,X3)
      U254#(active(X1),X2,X3) -> U254#(X1,X2,X3)
      U254#(X1,active(X2),X3) -> U254#(X1,X2,X3)
      U254#(X1,X2,active(X3)) -> U254#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U255#(mark(X1),X2) -> U255#(X1,X2)
      U255#(X1,mark(X2)) -> U255#(X1,X2)
      U255#(active(X1),X2) -> U255#(X1,X2)
      U255#(X1,active(X2)) -> U255#(X1,X2)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U256#(mark(X)) -> U256#(X)
      U256#(active(X)) -> U256#(X)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U262#(mark(X)) -> U262#(X)
      U262#(active(X)) -> U262#(X)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U272#(mark(X)) -> U272#(X)
      U272#(active(X)) -> U272#(X)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U282#(mark(X1),X2) -> U282#(X1,X2)
      U282#(X1,mark(X2)) -> U282#(X1,X2)
      U282#(active(X1),X2) -> U282#(X1,X2)
      U282#(X1,active(X2)) -> U282#(X1,X2)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      s#(mark(X)) -> s#(X)
      s#(active(X)) -> s#(X)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      natsFrom#(mark(X)) -> natsFrom#(X)
      natsFrom#(active(X)) -> natsFrom#(X)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      cons#(mark(X1),X2) -> cons#(X1,X2)
      cons#(X1,mark(X2)) -> cons#(X1,X2)
      cons#(active(X1),X2) -> cons#(X1,X2)
      cons#(X1,active(X2)) -> cons#(X1,X2)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U292#(mark(X1),X2,X3) -> U292#(X1,X2,X3)
      U292#(X1,mark(X2),X3) -> U292#(X1,X2,X3)
      U292#(X1,X2,mark(X3)) -> U292#(X1,X2,X3)
      U292#(active(X1),X2,X3) -> U292#(X1,X2,X3)
      U292#(X1,active(X2),X3) -> U292#(X1,X2,X3)
      U292#(X1,X2,active(X3)) -> U292#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U293#(mark(X1),X2,X3) -> U293#(X1,X2,X3)
      U293#(X1,mark(X2),X3) -> U293#(X1,X2,X3)
      U293#(X1,X2,mark(X3)) -> U293#(X1,X2,X3)
      U293#(active(X1),X2,X3) -> U293#(X1,X2,X3)
      U293#(X1,active(X2),X3) -> U293#(X1,X2,X3)
      U293#(X1,X2,active(X3)) -> U293#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U294#(mark(X1),X2,X3) -> U294#(X1,X2,X3)
      U294#(X1,mark(X2),X3) -> U294#(X1,X2,X3)
      U294#(X1,X2,mark(X3)) -> U294#(X1,X2,X3)
      U294#(active(X1),X2,X3) -> U294#(X1,X2,X3)
      U294#(X1,active(X2),X3) -> U294#(X1,X2,X3)
      U294#(X1,X2,active(X3)) -> U294#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      afterNth#(mark(X1),X2) -> afterNth#(X1,X2)
      afterNth#(X1,mark(X2)) -> afterNth#(X1,X2)
      afterNth#(active(X1),X2) -> afterNth#(X1,X2)
      afterNth#(X1,active(X2)) -> afterNth#(X1,X2)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      head#(mark(X)) -> head#(X)
      head#(active(X)) -> head#(X)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U302#(mark(X1),X2) -> U302#(X1,X2)
      U302#(X1,mark(X2)) -> U302#(X1,X2)
      U302#(active(X1),X2) -> U302#(X1,X2)
      U302#(X1,active(X2)) -> U302#(X1,X2)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U303#(mark(X1),X2) -> U303#(X1,X2)
      U303#(X1,mark(X2)) -> U303#(X1,X2)
      U303#(active(X1),X2) -> U303#(X1,X2)
      U303#(X1,active(X2)) -> U303#(X1,X2)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U304#(mark(X1),X2) -> U304#(X1,X2)
      U304#(X1,mark(X2)) -> U304#(X1,X2)
      U304#(active(X1),X2) -> U304#(X1,X2)
      U304#(X1,active(X2)) -> U304#(X1,X2)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U32#(mark(X1),X2,X3) -> U32#(X1,X2,X3)
      U32#(X1,mark(X2),X3) -> U32#(X1,X2,X3)
      U32#(X1,X2,mark(X3)) -> U32#(X1,X2,X3)
      U32#(active(X1),X2,X3) -> U32#(X1,X2,X3)
      U32#(X1,active(X2),X3) -> U32#(X1,X2,X3)
      U32#(X1,X2,active(X3)) -> U32#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U312#(mark(X1),X2) -> U312#(X1,X2)
      U312#(X1,mark(X2)) -> U312#(X1,X2)
      U312#(active(X1),X2) -> U312#(X1,X2)
      U312#(X1,active(X2)) -> U312#(X1,X2)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      pair#(mark(X1),X2) -> pair#(X1,X2)
      pair#(X1,mark(X2)) -> pair#(X1,X2)
      pair#(active(X1),X2) -> pair#(X1,X2)
      pair#(X1,active(X2)) -> pair#(X1,X2)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U33#(mark(X1),X2,X3) -> U33#(X1,X2,X3)
      U33#(X1,mark(X2),X3) -> U33#(X1,X2,X3)
      U33#(X1,X2,mark(X3)) -> U33#(X1,X2,X3)
      U33#(active(X1),X2,X3) -> U33#(X1,X2,X3)
      U33#(X1,active(X2),X3) -> U33#(X1,X2,X3)
      U33#(X1,X2,active(X3)) -> U33#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U322#(mark(X1),X2,X3,X4) -> U322#(X1,X2,X3,X4)
      U322#(X1,mark(X2),X3,X4) -> U322#(X1,X2,X3,X4)
      U322#(X1,X2,mark(X3),X4) -> U322#(X1,X2,X3,X4)
      U322#(X1,X2,X3,mark(X4)) -> U322#(X1,X2,X3,X4)
      U322#(active(X1),X2,X3,X4) -> U322#(X1,X2,X3,X4)
      U322#(X1,active(X2),X3,X4) -> U322#(X1,X2,X3,X4)
      U322#(X1,X2,active(X3),X4) -> U322#(X1,X2,X3,X4)
      U322#(X1,X2,X3,active(X4)) -> U322#(X1,X2,X3,X4)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U323#(mark(X1),X2,X3,X4) -> U323#(X1,X2,X3,X4)
      U323#(X1,mark(X2),X3,X4) -> U323#(X1,X2,X3,X4)
      U323#(X1,X2,mark(X3),X4) -> U323#(X1,X2,X3,X4)
      U323#(X1,X2,X3,mark(X4)) -> U323#(X1,X2,X3,X4)
      U323#(active(X1),X2,X3,X4) -> U323#(X1,X2,X3,X4)
      U323#(X1,active(X2),X3,X4) -> U323#(X1,X2,X3,X4)
      U323#(X1,X2,active(X3),X4) -> U323#(X1,X2,X3,X4)
      U323#(X1,X2,X3,active(X4)) -> U323#(X1,X2,X3,X4)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U324#(mark(X1),X2,X3,X4) -> U324#(X1,X2,X3,X4)
      U324#(X1,mark(X2),X3,X4) -> U324#(X1,X2,X3,X4)
      U324#(X1,X2,mark(X3),X4) -> U324#(X1,X2,X3,X4)
      U324#(X1,X2,X3,mark(X4)) -> U324#(X1,X2,X3,X4)
      U324#(active(X1),X2,X3,X4) -> U324#(X1,X2,X3,X4)
      U324#(X1,active(X2),X3,X4) -> U324#(X1,X2,X3,X4)
      U324#(X1,X2,active(X3),X4) -> U324#(X1,X2,X3,X4)
      U324#(X1,X2,X3,active(X4)) -> U324#(X1,X2,X3,X4)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U325#(mark(X1),X2,X3,X4) -> U325#(X1,X2,X3,X4)
      U325#(X1,mark(X2),X3,X4) -> U325#(X1,X2,X3,X4)
      U325#(X1,X2,mark(X3),X4) -> U325#(X1,X2,X3,X4)
      U325#(X1,X2,X3,mark(X4)) -> U325#(X1,X2,X3,X4)
      U325#(active(X1),X2,X3,X4) -> U325#(X1,X2,X3,X4)
      U325#(X1,active(X2),X3,X4) -> U325#(X1,X2,X3,X4)
      U325#(X1,X2,active(X3),X4) -> U325#(X1,X2,X3,X4)
      U325#(X1,X2,X3,active(X4)) -> U325#(X1,X2,X3,X4)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U326#(mark(X1),X2,X3,X4) -> U326#(X1,X2,X3,X4)
      U326#(X1,mark(X2),X3,X4) -> U326#(X1,X2,X3,X4)
      U326#(X1,X2,mark(X3),X4) -> U326#(X1,X2,X3,X4)
      U326#(X1,X2,X3,mark(X4)) -> U326#(X1,X2,X3,X4)
      U326#(active(X1),X2,X3,X4) -> U326#(X1,X2,X3,X4)
      U326#(X1,active(X2),X3,X4) -> U326#(X1,X2,X3,X4)
      U326#(X1,X2,active(X3),X4) -> U326#(X1,X2,X3,X4)
      U326#(X1,X2,X3,active(X4)) -> U326#(X1,X2,X3,X4)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U327#(mark(X1),X2) -> U327#(X1,X2)
      U327#(X1,mark(X2)) -> U327#(X1,X2)
      U327#(active(X1),X2) -> U327#(X1,X2)
      U327#(X1,active(X2)) -> U327#(X1,X2)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U34#(mark(X1),X2) -> U34#(X1,X2)
      U34#(X1,mark(X2)) -> U34#(X1,X2)
      U34#(active(X1),X2) -> U34#(X1,X2)
      U34#(X1,active(X2)) -> U34#(X1,X2)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U332#(mark(X1),X2) -> U332#(X1,X2)
      U332#(X1,mark(X2)) -> U332#(X1,X2)
      U332#(active(X1),X2) -> U332#(X1,X2)
      U332#(X1,active(X2)) -> U332#(X1,X2)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U333#(mark(X1),X2) -> U333#(X1,X2)
      U333#(X1,mark(X2)) -> U333#(X1,X2)
      U333#(active(X1),X2) -> U333#(X1,X2)
      U333#(X1,active(X2)) -> U333#(X1,X2)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U334#(mark(X1),X2) -> U334#(X1,X2)
      U334#(X1,mark(X2)) -> U334#(X1,X2)
      U334#(active(X1),X2) -> U334#(X1,X2)
      U334#(X1,active(X2)) -> U334#(X1,X2)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U342#(mark(X1),X2,X3) -> U342#(X1,X2,X3)
      U342#(X1,mark(X2),X3) -> U342#(X1,X2,X3)
      U342#(X1,X2,mark(X3)) -> U342#(X1,X2,X3)
      U342#(active(X1),X2,X3) -> U342#(X1,X2,X3)
      U342#(X1,active(X2),X3) -> U342#(X1,X2,X3)
      U342#(X1,X2,active(X3)) -> U342#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U343#(mark(X1),X2,X3) -> U343#(X1,X2,X3)
      U343#(X1,mark(X2),X3) -> U343#(X1,X2,X3)
      U343#(X1,X2,mark(X3)) -> U343#(X1,X2,X3)
      U343#(active(X1),X2,X3) -> U343#(X1,X2,X3)
      U343#(X1,active(X2),X3) -> U343#(X1,X2,X3)
      U343#(X1,X2,active(X3)) -> U343#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U344#(mark(X1),X2,X3) -> U344#(X1,X2,X3)
      U344#(X1,mark(X2),X3) -> U344#(X1,X2,X3)
      U344#(X1,X2,mark(X3)) -> U344#(X1,X2,X3)
      U344#(active(X1),X2,X3) -> U344#(X1,X2,X3)
      U344#(X1,active(X2),X3) -> U344#(X1,X2,X3)
      U344#(X1,X2,active(X3)) -> U344#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      fst#(mark(X)) -> fst#(X)
      fst#(active(X)) -> fst#(X)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U42#(mark(X1),X2,X3) -> U42#(X1,X2,X3)
      U42#(X1,mark(X2),X3) -> U42#(X1,X2,X3)
      U42#(X1,X2,mark(X3)) -> U42#(X1,X2,X3)
      U42#(active(X1),X2,X3) -> U42#(X1,X2,X3)
      U42#(X1,active(X2),X3) -> U42#(X1,X2,X3)
      U42#(X1,X2,active(X3)) -> U42#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U43#(mark(X1),X2,X3) -> U43#(X1,X2,X3)
      U43#(X1,mark(X2),X3) -> U43#(X1,X2,X3)
      U43#(X1,X2,mark(X3)) -> U43#(X1,X2,X3)
      U43#(active(X1),X2,X3) -> U43#(X1,X2,X3)
      U43#(X1,active(X2),X3) -> U43#(X1,X2,X3)
      U43#(X1,X2,active(X3)) -> U43#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U44#(mark(X1),X2,X3) -> U44#(X1,X2,X3)
      U44#(X1,mark(X2),X3) -> U44#(X1,X2,X3)
      U44#(X1,X2,mark(X3)) -> U44#(X1,X2,X3)
      U44#(active(X1),X2,X3) -> U44#(X1,X2,X3)
      U44#(X1,active(X2),X3) -> U44#(X1,X2,X3)
      U44#(X1,X2,active(X3)) -> U44#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U45#(mark(X1),X2) -> U45#(X1,X2)
      U45#(X1,mark(X2)) -> U45#(X1,X2)
      U45#(active(X1),X2) -> U45#(X1,X2)
      U45#(X1,active(X2)) -> U45#(X1,X2)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U46#(mark(X)) -> U46#(X)
      U46#(active(X)) -> U46#(X)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U52#(mark(X1),X2,X3) -> U52#(X1,X2,X3)
      U52#(X1,mark(X2),X3) -> U52#(X1,X2,X3)
      U52#(X1,X2,mark(X3)) -> U52#(X1,X2,X3)
      U52#(active(X1),X2,X3) -> U52#(X1,X2,X3)
      U52#(X1,active(X2),X3) -> U52#(X1,X2,X3)
      U52#(X1,X2,active(X3)) -> U52#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U53#(mark(X1),X2,X3) -> U53#(X1,X2,X3)
      U53#(X1,mark(X2),X3) -> U53#(X1,X2,X3)
      U53#(X1,X2,mark(X3)) -> U53#(X1,X2,X3)
      U53#(active(X1),X2,X3) -> U53#(X1,X2,X3)
      U53#(X1,active(X2),X3) -> U53#(X1,X2,X3)
      U53#(X1,X2,active(X3)) -> U53#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U54#(mark(X1),X2,X3) -> U54#(X1,X2,X3)
      U54#(X1,mark(X2),X3) -> U54#(X1,X2,X3)
      U54#(X1,X2,mark(X3)) -> U54#(X1,X2,X3)
      U54#(active(X1),X2,X3) -> U54#(X1,X2,X3)
      U54#(X1,active(X2),X3) -> U54#(X1,X2,X3)
      U54#(X1,X2,active(X3)) -> U54#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U55#(mark(X1),X2) -> U55#(X1,X2)
      U55#(X1,mark(X2)) -> U55#(X1,X2)
      U55#(active(X1),X2) -> U55#(X1,X2)
      U55#(X1,active(X2)) -> U55#(X1,X2)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U56#(mark(X)) -> U56#(X)
      U56#(active(X)) -> U56#(X)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      isPLNatKind#(mark(X)) -> isPLNatKind#(X)
      isPLNatKind#(active(X)) -> isPLNatKind#(X)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U62#(mark(X1),X2) -> U62#(X1,X2)
      U62#(X1,mark(X2)) -> U62#(X1,X2)
      U62#(active(X1),X2) -> U62#(X1,X2)
      U62#(X1,active(X2)) -> U62#(X1,X2)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      isPLNat#(mark(X)) -> isPLNat#(X)
      isPLNat#(active(X)) -> isPLNat#(X)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U63#(mark(X)) -> U63#(X)
      U63#(active(X)) -> U63#(X)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U72#(mark(X1),X2) -> U72#(X1,X2)
      U72#(X1,mark(X2)) -> U72#(X1,X2)
      U72#(active(X1),X2) -> U72#(X1,X2)
      U72#(X1,active(X2)) -> U72#(X1,X2)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U73#(mark(X)) -> U73#(X)
      U73#(active(X)) -> U73#(X)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U82#(mark(X1),X2) -> U82#(X1,X2)
      U82#(X1,mark(X2)) -> U82#(X1,X2)
      U82#(active(X1),X2) -> U82#(X1,X2)
      U82#(X1,active(X2)) -> U82#(X1,X2)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U83#(mark(X)) -> U83#(X)
      U83#(active(X)) -> U83#(X)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U92#(mark(X1),X2) -> U92#(X1,X2)
      U92#(X1,mark(X2)) -> U92#(X1,X2)
      U92#(active(X1),X2) -> U92#(X1,X2)
      U92#(X1,active(X2)) -> U92#(X1,X2)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U93#(mark(X)) -> U93#(X)
      U93#(active(X)) -> U93#(X)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U11#(mark(X1),X2,X3) -> U11#(X1,X2,X3)
      U11#(X1,mark(X2),X3) -> U11#(X1,X2,X3)
      U11#(X1,X2,mark(X3)) -> U11#(X1,X2,X3)
      U11#(active(X1),X2,X3) -> U11#(X1,X2,X3)
      U11#(X1,active(X2),X3) -> U11#(X1,X2,X3)
      U11#(X1,X2,active(X3)) -> U11#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U21#(mark(X1),X2,X3) -> U21#(X1,X2,X3)
      U21#(X1,mark(X2),X3) -> U21#(X1,X2,X3)
      U21#(X1,X2,mark(X3)) -> U21#(X1,X2,X3)
      U21#(active(X1),X2,X3) -> U21#(X1,X2,X3)
      U21#(X1,active(X2),X3) -> U21#(X1,X2,X3)
      U21#(X1,X2,active(X3)) -> U21#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U31#(mark(X1),X2,X3) -> U31#(X1,X2,X3)
      U31#(X1,mark(X2),X3) -> U31#(X1,X2,X3)
      U31#(X1,X2,mark(X3)) -> U31#(X1,X2,X3)
      U31#(active(X1),X2,X3) -> U31#(X1,X2,X3)
      U31#(X1,active(X2),X3) -> U31#(X1,X2,X3)
      U31#(X1,X2,active(X3)) -> U31#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U41#(mark(X1),X2,X3) -> U41#(X1,X2,X3)
      U41#(X1,mark(X2),X3) -> U41#(X1,X2,X3)
      U41#(X1,X2,mark(X3)) -> U41#(X1,X2,X3)
      U41#(active(X1),X2,X3) -> U41#(X1,X2,X3)
      U41#(X1,active(X2),X3) -> U41#(X1,X2,X3)
      U41#(X1,X2,active(X3)) -> U41#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U51#(mark(X1),X2,X3) -> U51#(X1,X2,X3)
      U51#(X1,mark(X2),X3) -> U51#(X1,X2,X3)
      U51#(X1,X2,mark(X3)) -> U51#(X1,X2,X3)
      U51#(active(X1),X2,X3) -> U51#(X1,X2,X3)
      U51#(X1,active(X2),X3) -> U51#(X1,X2,X3)
      U51#(X1,X2,active(X3)) -> U51#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U61#(mark(X1),X2) -> U61#(X1,X2)
      U61#(X1,mark(X2)) -> U61#(X1,X2)
      U61#(active(X1),X2) -> U61#(X1,X2)
      U61#(X1,active(X2)) -> U61#(X1,X2)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U71#(mark(X1),X2) -> U71#(X1,X2)
      U71#(X1,mark(X2)) -> U71#(X1,X2)
      U71#(active(X1),X2) -> U71#(X1,X2)
      U71#(X1,active(X2)) -> U71#(X1,X2)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U81#(mark(X1),X2) -> U81#(X1,X2)
      U81#(X1,mark(X2)) -> U81#(X1,X2)
      U81#(active(X1),X2) -> U81#(X1,X2)
      U81#(X1,active(X2)) -> U81#(X1,X2)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U91#(mark(X1),X2) -> U91#(X1,X2)
      U91#(X1,mark(X2)) -> U91#(X1,X2)
      U91#(active(X1),X2) -> U91#(X1,X2)
      U91#(X1,active(X2)) -> U91#(X1,X2)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U101#(mark(X1),X2,X3) -> U101#(X1,X2,X3)
      U101#(X1,mark(X2),X3) -> U101#(X1,X2,X3)
      U101#(X1,X2,mark(X3)) -> U101#(X1,X2,X3)
      U101#(active(X1),X2,X3) -> U101#(X1,X2,X3)
      U101#(X1,active(X2),X3) -> U101#(X1,X2,X3)
      U101#(X1,X2,active(X3)) -> U101#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U111#(mark(X1),X2) -> U111#(X1,X2)
      U111#(X1,mark(X2)) -> U111#(X1,X2)
      U111#(active(X1),X2) -> U111#(X1,X2)
      U111#(X1,active(X2)) -> U111#(X1,X2)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U121#(mark(X1),X2) -> U121#(X1,X2)
      U121#(X1,mark(X2)) -> U121#(X1,X2)
      U121#(active(X1),X2) -> U121#(X1,X2)
      U121#(X1,active(X2)) -> U121#(X1,X2)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U131#(mark(X)) -> U131#(X)
      U131#(active(X)) -> U131#(X)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U141#(mark(X)) -> U141#(X)
      U141#(active(X)) -> U141#(X)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U151#(mark(X)) -> U151#(X)
      U151#(active(X)) -> U151#(X)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U161#(mark(X)) -> U161#(X)
      U161#(active(X)) -> U161#(X)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U171#(mark(X1),X2) -> U171#(X1,X2)
      U171#(X1,mark(X2)) -> U171#(X1,X2)
      U171#(active(X1),X2) -> U171#(X1,X2)
      U171#(X1,active(X2)) -> U171#(X1,X2)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U181#(mark(X1),X2) -> U181#(X1,X2)
      U181#(X1,mark(X2)) -> U181#(X1,X2)
      U181#(active(X1),X2) -> U181#(X1,X2)
      U181#(X1,active(X2)) -> U181#(X1,X2)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U191#(mark(X1),X2) -> U191#(X1,X2)
      U191#(X1,mark(X2)) -> U191#(X1,X2)
      U191#(active(X1),X2) -> U191#(X1,X2)
      U191#(X1,active(X2)) -> U191#(X1,X2)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U201#(mark(X1),X2,X3) -> U201#(X1,X2,X3)
      U201#(X1,mark(X2),X3) -> U201#(X1,X2,X3)
      U201#(X1,X2,mark(X3)) -> U201#(X1,X2,X3)
      U201#(active(X1),X2,X3) -> U201#(X1,X2,X3)
      U201#(X1,active(X2),X3) -> U201#(X1,X2,X3)
      U201#(X1,X2,active(X3)) -> U201#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U211#(mark(X)) -> U211#(X)
      U211#(active(X)) -> U211#(X)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U221#(mark(X)) -> U221#(X)
      U221#(active(X)) -> U221#(X)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U231#(mark(X1),X2) -> U231#(X1,X2)
      U231#(X1,mark(X2)) -> U231#(X1,X2)
      U231#(active(X1),X2) -> U231#(X1,X2)
      U231#(X1,active(X2)) -> U231#(X1,X2)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U241#(mark(X1),X2,X3) -> U241#(X1,X2,X3)
      U241#(X1,mark(X2),X3) -> U241#(X1,X2,X3)
      U241#(X1,X2,mark(X3)) -> U241#(X1,X2,X3)
      U241#(active(X1),X2,X3) -> U241#(X1,X2,X3)
      U241#(X1,active(X2),X3) -> U241#(X1,X2,X3)
      U241#(X1,X2,active(X3)) -> U241#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U251#(mark(X1),X2,X3) -> U251#(X1,X2,X3)
      U251#(X1,mark(X2),X3) -> U251#(X1,X2,X3)
      U251#(X1,X2,mark(X3)) -> U251#(X1,X2,X3)
      U251#(active(X1),X2,X3) -> U251#(X1,X2,X3)
      U251#(X1,active(X2),X3) -> U251#(X1,X2,X3)
      U251#(X1,X2,active(X3)) -> U251#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U261#(mark(X1),X2) -> U261#(X1,X2)
      U261#(X1,mark(X2)) -> U261#(X1,X2)
      U261#(active(X1),X2) -> U261#(X1,X2)
      U261#(X1,active(X2)) -> U261#(X1,X2)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U271#(mark(X1),X2) -> U271#(X1,X2)
      U271#(X1,mark(X2)) -> U271#(X1,X2)
      U271#(active(X1),X2) -> U271#(X1,X2)
      U271#(X1,active(X2)) -> U271#(X1,X2)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U281#(mark(X1),X2) -> U281#(X1,X2)
      U281#(X1,mark(X2)) -> U281#(X1,X2)
      U281#(active(X1),X2) -> U281#(X1,X2)
      U281#(X1,active(X2)) -> U281#(X1,X2)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U291#(mark(X1),X2,X3) -> U291#(X1,X2,X3)
      U291#(X1,mark(X2),X3) -> U291#(X1,X2,X3)
      U291#(X1,X2,mark(X3)) -> U291#(X1,X2,X3)
      U291#(active(X1),X2,X3) -> U291#(X1,X2,X3)
      U291#(X1,active(X2),X3) -> U291#(X1,X2,X3)
      U291#(X1,X2,active(X3)) -> U291#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U301#(mark(X1),X2,X3) -> U301#(X1,X2,X3)
      U301#(X1,mark(X2),X3) -> U301#(X1,X2,X3)
      U301#(X1,X2,mark(X3)) -> U301#(X1,X2,X3)
      U301#(active(X1),X2,X3) -> U301#(X1,X2,X3)
      U301#(X1,active(X2),X3) -> U301#(X1,X2,X3)
      U301#(X1,X2,active(X3)) -> U301#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U311#(mark(X1),X2) -> U311#(X1,X2)
      U311#(X1,mark(X2)) -> U311#(X1,X2)
      U311#(active(X1),X2) -> U311#(X1,X2)
      U311#(X1,active(X2)) -> U311#(X1,X2)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U321#(mark(X1),X2,X3,X4) -> U321#(X1,X2,X3,X4)
      U321#(X1,mark(X2),X3,X4) -> U321#(X1,X2,X3,X4)
      U321#(X1,X2,mark(X3),X4) -> U321#(X1,X2,X3,X4)
      U321#(X1,X2,X3,mark(X4)) -> U321#(X1,X2,X3,X4)
      U321#(active(X1),X2,X3,X4) -> U321#(X1,X2,X3,X4)
      U321#(X1,active(X2),X3,X4) -> U321#(X1,X2,X3,X4)
      U321#(X1,X2,active(X3),X4) -> U321#(X1,X2,X3,X4)
      U321#(X1,X2,X3,active(X4)) -> U321#(X1,X2,X3,X4)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U331#(mark(X1),X2,X3) -> U331#(X1,X2,X3)
      U331#(X1,mark(X2),X3) -> U331#(X1,X2,X3)
      U331#(X1,X2,mark(X3)) -> U331#(X1,X2,X3)
      U331#(active(X1),X2,X3) -> U331#(X1,X2,X3)
      U331#(X1,active(X2),X3) -> U331#(X1,X2,X3)
      U331#(X1,X2,active(X3)) -> U331#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      U341#(mark(X1),X2,X3) -> U341#(X1,X2,X3)
      U341#(X1,mark(X2),X3) -> U341#(X1,X2,X3)
      U341#(X1,X2,mark(X3)) -> U341#(X1,X2,X3)
      U341#(active(X1),X2,X3) -> U341#(X1,X2,X3)
      U341#(X1,active(X2),X3) -> U341#(X1,X2,X3)
      U341#(X1,X2,active(X3)) -> U341#(X1,X2,X3)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      tail#(mark(X)) -> tail#(X)
      tail#(active(X)) -> tail#(X)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      take#(mark(X1),X2) -> take#(X1,X2)
      take#(X1,mark(X2)) -> take#(X1,X2)
      take#(active(X1),X2) -> take#(X1,X2)
      take#(X1,active(X2)) -> take#(X1,X2)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open
     
     DPs:
      sel#(mark(X1),X2) -> sel#(X1,X2)
      sel#(X1,mark(X2)) -> sel#(X1,X2)
      sel#(active(X1),X2) -> sel#(X1,X2)
      sel#(X1,active(X2)) -> sel#(X1,X2)
     TRS:
      active(U101(tt(),V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
      active(U102(tt(),V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
      active(U103(tt(),V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
      active(U104(tt(),V1,V2)) -> mark(U105(isNatural(V1),V2))
      active(U105(tt(),V2)) -> mark(U106(isLNat(V2)))
      active(U106(tt())) -> mark(tt())
      active(U11(tt(),N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
      active(U111(tt(),V2)) -> mark(U112(isLNatKind(V2)))
      active(U112(tt())) -> mark(tt())
      active(U12(tt(),N,XS)) -> mark(U13(isLNat(XS),N,XS))
      active(U121(tt(),V2)) -> mark(U122(isLNatKind(V2)))
      active(U122(tt())) -> mark(tt())
      active(U13(tt(),N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
      active(U131(tt())) -> mark(tt())
      active(U14(tt(),N,XS)) -> mark(snd(splitAt(N,XS)))
      active(U141(tt())) -> mark(tt())
      active(U151(tt())) -> mark(tt())
      active(U161(tt())) -> mark(tt())
      active(U171(tt(),V2)) -> mark(U172(isLNatKind(V2)))
      active(U172(tt())) -> mark(tt())
      active(U181(tt(),V1)) -> mark(U182(isLNatKind(V1),V1))
      active(U182(tt(),V1)) -> mark(U183(isLNat(V1)))
      active(U183(tt())) -> mark(tt())
      active(U191(tt(),V1)) -> mark(U192(isNaturalKind(V1),V1))
      active(U192(tt(),V1)) -> mark(U193(isNatural(V1)))
      active(U193(tt())) -> mark(tt())
      active(U201(tt(),V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
      active(U202(tt(),V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
      active(U203(tt(),V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
      active(U204(tt(),V1,V2)) -> mark(U205(isNatural(V1),V2))
      active(U205(tt(),V2)) -> mark(U206(isLNat(V2)))
      active(U206(tt())) -> mark(tt())
      active(U21(tt(),X,Y)) -> mark(U22(isLNatKind(X),X,Y))
      active(U211(tt())) -> mark(tt())
      active(U22(tt(),X,Y)) -> mark(U23(isLNat(Y),X,Y))
      active(U221(tt())) -> mark(tt())
      active(U23(tt(),X,Y)) -> mark(U24(isLNatKind(Y),X))
      active(U231(tt(),V2)) -> mark(U232(isLNatKind(V2)))
      active(U232(tt())) -> mark(tt())
      active(U24(tt(),X)) -> mark(X)
      active(U241(tt(),V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
      active(U242(tt(),V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
      active(U243(tt(),V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
      active(U244(tt(),V1,V2)) -> mark(U245(isLNat(V1),V2))
      active(U245(tt(),V2)) -> mark(U246(isLNat(V2)))
      active(U246(tt())) -> mark(tt())
      active(U251(tt(),V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
      active(U252(tt(),V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
      active(U253(tt(),V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
      active(U254(tt(),V1,V2)) -> mark(U255(isNatural(V1),V2))
      active(U255(tt(),V2)) -> mark(U256(isLNat(V2)))
      active(U256(tt())) -> mark(tt())
      active(U261(tt(),V2)) -> mark(U262(isLNatKind(V2)))
      active(U262(tt())) -> mark(tt())
      active(U271(tt(),V2)) -> mark(U272(isLNatKind(V2)))
      active(U272(tt())) -> mark(tt())
      active(U281(tt(),N)) -> mark(U282(isNaturalKind(N),N))
      active(U282(tt(),N)) -> mark(cons(N,natsFrom(s(N))))
      active(U291(tt(),N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
      active(U292(tt(),N,XS)) -> mark(U293(isLNat(XS),N,XS))
      active(U293(tt(),N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
      active(U294(tt(),N,XS)) -> mark(head(afterNth(N,XS)))
      active(U301(tt(),X,Y)) -> mark(U302(isLNatKind(X),Y))
      active(U302(tt(),Y)) -> mark(U303(isLNat(Y),Y))
      active(U303(tt(),Y)) -> mark(U304(isLNatKind(Y),Y))
      active(U304(tt(),Y)) -> mark(Y)
      active(U31(tt(),N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
      active(U311(tt(),XS)) -> mark(U312(isLNatKind(XS),XS))
      active(U312(tt(),XS)) -> mark(pair(nil(),XS))
      active(U32(tt(),N,XS)) -> mark(U33(isLNat(XS),N,XS))
      active(U321(tt(),N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
      active(U322(tt(),N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
      active(U323(tt(),N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
      active(U324(tt(),N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
      active(U325(tt(),N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
      active(U326(tt(),N,X,XS)) -> mark(U327(splitAt(N,XS),X))
      active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
      active(U33(tt(),N,XS)) -> mark(U34(isLNatKind(XS),N))
      active(U331(tt(),N,XS)) -> mark(U332(isNaturalKind(N),XS))
      active(U332(tt(),XS)) -> mark(U333(isLNat(XS),XS))
      active(U333(tt(),XS)) -> mark(U334(isLNatKind(XS),XS))
      active(U334(tt(),XS)) -> mark(XS)
      active(U34(tt(),N)) -> mark(N)
      active(U341(tt(),N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
      active(U342(tt(),N,XS)) -> mark(U343(isLNat(XS),N,XS))
      active(U343(tt(),N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
      active(U344(tt(),N,XS)) -> mark(fst(splitAt(N,XS)))
      active(U41(tt(),V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
      active(U42(tt(),V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
      active(U43(tt(),V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
      active(U44(tt(),V1,V2)) -> mark(U45(isNatural(V1),V2))
      active(U45(tt(),V2)) -> mark(U46(isLNat(V2)))
      active(U46(tt())) -> mark(tt())
      active(U51(tt(),V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
      active(U52(tt(),V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
      active(U53(tt(),V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
      active(U54(tt(),V1,V2)) -> mark(U55(isNatural(V1),V2))
      active(U55(tt(),V2)) -> mark(U56(isLNat(V2)))
      active(U56(tt())) -> mark(tt())
      active(U61(tt(),V1)) -> mark(U62(isPLNatKind(V1),V1))
      active(U62(tt(),V1)) -> mark(U63(isPLNat(V1)))
      active(U63(tt())) -> mark(tt())
      active(U71(tt(),V1)) -> mark(U72(isNaturalKind(V1),V1))
      active(U72(tt(),V1)) -> mark(U73(isNatural(V1)))
      active(U73(tt())) -> mark(tt())
      active(U81(tt(),V1)) -> mark(U82(isPLNatKind(V1),V1))
      active(U82(tt(),V1)) -> mark(U83(isPLNat(V1)))
      active(U83(tt())) -> mark(tt())
      active(U91(tt(),V1)) -> mark(U92(isLNatKind(V1),V1))
      active(U92(tt(),V1)) -> mark(U93(isLNat(V1)))
      active(U93(tt())) -> mark(tt())
      active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
      active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
      active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
      active(isLNat(nil())) -> mark(tt())
      active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
      active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
      active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
      active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
      active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
      active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
      active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
      active(isLNatKind(nil())) -> mark(tt())
      active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
      active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
      active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
      active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
      active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
      active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
      active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
      active(isNatural(0())) -> mark(tt())
      active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
      active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
      active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
      active(isNaturalKind(0())) -> mark(tt())
      active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
      active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
      active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
      active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
      active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
      active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
      active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
      active(natsFrom(N)) -> mark(U281(isNatural(N),N))
      active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
      active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
      active(splitAt(0(),XS)) -> mark(U311(isLNat(XS),XS))
      active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
      active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
      active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
      mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
      mark(tt()) -> active(tt())
      mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
      mark(isNaturalKind(X)) -> active(isNaturalKind(X))
      mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
      mark(isLNatKind(X)) -> active(isLNatKind(X))
      mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
      mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
      mark(isNatural(X)) -> active(isNatural(X))
      mark(U106(X)) -> active(U106(mark(X)))
      mark(isLNat(X)) -> active(isLNat(X))
      mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
      mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
      mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
      mark(U112(X)) -> active(U112(mark(X)))
      mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
      mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
      mark(U122(X)) -> active(U122(mark(X)))
      mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
      mark(U131(X)) -> active(U131(mark(X)))
      mark(snd(X)) -> active(snd(mark(X)))
      mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
      mark(U141(X)) -> active(U141(mark(X)))
      mark(U151(X)) -> active(U151(mark(X)))
      mark(U161(X)) -> active(U161(mark(X)))
      mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
      mark(U172(X)) -> active(U172(mark(X)))
      mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
      mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
      mark(U183(X)) -> active(U183(mark(X)))
      mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
      mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
      mark(U193(X)) -> active(U193(mark(X)))
      mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
      mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
      mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
      mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
      mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
      mark(U206(X)) -> active(U206(mark(X)))
      mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
      mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
      mark(U211(X)) -> active(U211(mark(X)))
      mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
      mark(U221(X)) -> active(U221(mark(X)))
      mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
      mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
      mark(U232(X)) -> active(U232(mark(X)))
      mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
      mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
      mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
      mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
      mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
      mark(U246(X)) -> active(U246(mark(X)))
      mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
      mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
      mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
      mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
      mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
      mark(U256(X)) -> active(U256(mark(X)))
      mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
      mark(U262(X)) -> active(U262(mark(X)))
      mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
      mark(U272(X)) -> active(U272(mark(X)))
      mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
      mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
      mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
      mark(natsFrom(X)) -> active(natsFrom(mark(X)))
      mark(s(X)) -> active(s(mark(X)))
      mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
      mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
      mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
      mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
      mark(head(X)) -> active(head(mark(X)))
      mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
      mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
      mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
      mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
      mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
      mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
      mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
      mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
      mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
      mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
      mark(nil()) -> active(nil())
      mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
      mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
      mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
      mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
      mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
      mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
      mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
      mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
      mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
      mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
      mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
      mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
      mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
      mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
      mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
      mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
      mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
      mark(fst(X)) -> active(fst(mark(X)))
      mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
      mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
      mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
      mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
      mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
      mark(U46(X)) -> active(U46(mark(X)))
      mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
      mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
      mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
      mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
      mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
      mark(U56(X)) -> active(U56(mark(X)))
      mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
      mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
      mark(isPLNatKind(X)) -> active(isPLNatKind(X))
      mark(U63(X)) -> active(U63(mark(X)))
      mark(isPLNat(X)) -> active(isPLNat(X))
      mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
      mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
      mark(U73(X)) -> active(U73(mark(X)))
      mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
      mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
      mark(U83(X)) -> active(U83(mark(X)))
      mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
      mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
      mark(U93(X)) -> active(U93(mark(X)))
      mark(tail(X)) -> active(tail(mark(X)))
      mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
      mark(0()) -> active(0())
      mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
      U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
      U101(active(X1),X2,X3) -> U101(X1,X2,X3)
      U101(X1,active(X2),X3) -> U101(X1,X2,X3)
      U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
      U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
      U102(active(X1),X2,X3) -> U102(X1,X2,X3)
      U102(X1,active(X2),X3) -> U102(X1,X2,X3)
      U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
      isNaturalKind(mark(X)) -> isNaturalKind(X)
      isNaturalKind(active(X)) -> isNaturalKind(X)
      U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
      U103(active(X1),X2,X3) -> U103(X1,X2,X3)
      U103(X1,active(X2),X3) -> U103(X1,X2,X3)
      U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
      isLNatKind(mark(X)) -> isLNatKind(X)
      isLNatKind(active(X)) -> isLNatKind(X)
      U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
      U104(active(X1),X2,X3) -> U104(X1,X2,X3)
      U104(X1,active(X2),X3) -> U104(X1,X2,X3)
      U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
      U105(mark(X1),X2) -> U105(X1,X2)
      U105(X1,mark(X2)) -> U105(X1,X2)
      U105(active(X1),X2) -> U105(X1,X2)
      U105(X1,active(X2)) -> U105(X1,X2)
      isNatural(mark(X)) -> isNatural(X)
      isNatural(active(X)) -> isNatural(X)
      U106(mark(X)) -> U106(X)
      U106(active(X)) -> U106(X)
      isLNat(mark(X)) -> isLNat(X)
      isLNat(active(X)) -> isLNat(X)
      U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
      U11(active(X1),X2,X3) -> U11(X1,X2,X3)
      U11(X1,active(X2),X3) -> U11(X1,X2,X3)
      U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
      U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
      U12(active(X1),X2,X3) -> U12(X1,X2,X3)
      U12(X1,active(X2),X3) -> U12(X1,X2,X3)
      U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
      U111(mark(X1),X2) -> U111(X1,X2)
      U111(X1,mark(X2)) -> U111(X1,X2)
      U111(active(X1),X2) -> U111(X1,X2)
      U111(X1,active(X2)) -> U111(X1,X2)
      U112(mark(X)) -> U112(X)
      U112(active(X)) -> U112(X)
      U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
      U13(active(X1),X2,X3) -> U13(X1,X2,X3)
      U13(X1,active(X2),X3) -> U13(X1,X2,X3)
      U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
      U121(mark(X1),X2) -> U121(X1,X2)
      U121(X1,mark(X2)) -> U121(X1,X2)
      U121(active(X1),X2) -> U121(X1,X2)
      U121(X1,active(X2)) -> U121(X1,X2)
      U122(mark(X)) -> U122(X)
      U122(active(X)) -> U122(X)
      U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
      U14(active(X1),X2,X3) -> U14(X1,X2,X3)
      U14(X1,active(X2),X3) -> U14(X1,X2,X3)
      U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
      U131(mark(X)) -> U131(X)
      U131(active(X)) -> U131(X)
      snd(mark(X)) -> snd(X)
      snd(active(X)) -> snd(X)
      splitAt(mark(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,mark(X2)) -> splitAt(X1,X2)
      splitAt(active(X1),X2) -> splitAt(X1,X2)
      splitAt(X1,active(X2)) -> splitAt(X1,X2)
      U141(mark(X)) -> U141(X)
      U141(active(X)) -> U141(X)
      U151(mark(X)) -> U151(X)
      U151(active(X)) -> U151(X)
      U161(mark(X)) -> U161(X)
      U161(active(X)) -> U161(X)
      U171(mark(X1),X2) -> U171(X1,X2)
      U171(X1,mark(X2)) -> U171(X1,X2)
      U171(active(X1),X2) -> U171(X1,X2)
      U171(X1,active(X2)) -> U171(X1,X2)
      U172(mark(X)) -> U172(X)
      U172(active(X)) -> U172(X)
      U181(mark(X1),X2) -> U181(X1,X2)
      U181(X1,mark(X2)) -> U181(X1,X2)
      U181(active(X1),X2) -> U181(X1,X2)
      U181(X1,active(X2)) -> U181(X1,X2)
      U182(mark(X1),X2) -> U182(X1,X2)
      U182(X1,mark(X2)) -> U182(X1,X2)
      U182(active(X1),X2) -> U182(X1,X2)
      U182(X1,active(X2)) -> U182(X1,X2)
      U183(mark(X)) -> U183(X)
      U183(active(X)) -> U183(X)
      U191(mark(X1),X2) -> U191(X1,X2)
      U191(X1,mark(X2)) -> U191(X1,X2)
      U191(active(X1),X2) -> U191(X1,X2)
      U191(X1,active(X2)) -> U191(X1,X2)
      U192(mark(X1),X2) -> U192(X1,X2)
      U192(X1,mark(X2)) -> U192(X1,X2)
      U192(active(X1),X2) -> U192(X1,X2)
      U192(X1,active(X2)) -> U192(X1,X2)
      U193(mark(X)) -> U193(X)
      U193(active(X)) -> U193(X)
      U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
      U201(active(X1),X2,X3) -> U201(X1,X2,X3)
      U201(X1,active(X2),X3) -> U201(X1,X2,X3)
      U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
      U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
      U202(active(X1),X2,X3) -> U202(X1,X2,X3)
      U202(X1,active(X2),X3) -> U202(X1,X2,X3)
      U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
      U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
      U203(active(X1),X2,X3) -> U203(X1,X2,X3)
      U203(X1,active(X2),X3) -> U203(X1,X2,X3)
      U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
      U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
      U204(active(X1),X2,X3) -> U204(X1,X2,X3)
      U204(X1,active(X2),X3) -> U204(X1,X2,X3)
      U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
      U205(mark(X1),X2) -> U205(X1,X2)
      U205(X1,mark(X2)) -> U205(X1,X2)
      U205(active(X1),X2) -> U205(X1,X2)
      U205(X1,active(X2)) -> U205(X1,X2)
      U206(mark(X)) -> U206(X)
      U206(active(X)) -> U206(X)
      U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
      U21(active(X1),X2,X3) -> U21(X1,X2,X3)
      U21(X1,active(X2),X3) -> U21(X1,X2,X3)
      U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
      U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
      U22(active(X1),X2,X3) -> U22(X1,X2,X3)
      U22(X1,active(X2),X3) -> U22(X1,X2,X3)
      U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
      U211(mark(X)) -> U211(X)
      U211(active(X)) -> U211(X)
      U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
      U23(active(X1),X2,X3) -> U23(X1,X2,X3)
      U23(X1,active(X2),X3) -> U23(X1,X2,X3)
      U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
      U221(mark(X)) -> U221(X)
      U221(active(X)) -> U221(X)
      U24(mark(X1),X2) -> U24(X1,X2)
      U24(X1,mark(X2)) -> U24(X1,X2)
      U24(active(X1),X2) -> U24(X1,X2)
      U24(X1,active(X2)) -> U24(X1,X2)
      U231(mark(X1),X2) -> U231(X1,X2)
      U231(X1,mark(X2)) -> U231(X1,X2)
      U231(active(X1),X2) -> U231(X1,X2)
      U231(X1,active(X2)) -> U231(X1,X2)
      U232(mark(X)) -> U232(X)
      U232(active(X)) -> U232(X)
      U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
      U241(active(X1),X2,X3) -> U241(X1,X2,X3)
      U241(X1,active(X2),X3) -> U241(X1,X2,X3)
      U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
      U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
      U242(active(X1),X2,X3) -> U242(X1,X2,X3)
      U242(X1,active(X2),X3) -> U242(X1,X2,X3)
      U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
      U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
      U243(active(X1),X2,X3) -> U243(X1,X2,X3)
      U243(X1,active(X2),X3) -> U243(X1,X2,X3)
      U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
      U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
      U244(active(X1),X2,X3) -> U244(X1,X2,X3)
      U244(X1,active(X2),X3) -> U244(X1,X2,X3)
      U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
      U245(mark(X1),X2) -> U245(X1,X2)
      U245(X1,mark(X2)) -> U245(X1,X2)
      U245(active(X1),X2) -> U245(X1,X2)
      U245(X1,active(X2)) -> U245(X1,X2)
      U246(mark(X)) -> U246(X)
      U246(active(X)) -> U246(X)
      U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
      U251(active(X1),X2,X3) -> U251(X1,X2,X3)
      U251(X1,active(X2),X3) -> U251(X1,X2,X3)
      U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
      U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
      U252(active(X1),X2,X3) -> U252(X1,X2,X3)
      U252(X1,active(X2),X3) -> U252(X1,X2,X3)
      U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
      U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
      U253(active(X1),X2,X3) -> U253(X1,X2,X3)
      U253(X1,active(X2),X3) -> U253(X1,X2,X3)
      U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
      U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
      U254(active(X1),X2,X3) -> U254(X1,X2,X3)
      U254(X1,active(X2),X3) -> U254(X1,X2,X3)
      U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
      U255(mark(X1),X2) -> U255(X1,X2)
      U255(X1,mark(X2)) -> U255(X1,X2)
      U255(active(X1),X2) -> U255(X1,X2)
      U255(X1,active(X2)) -> U255(X1,X2)
      U256(mark(X)) -> U256(X)
      U256(active(X)) -> U256(X)
      U261(mark(X1),X2) -> U261(X1,X2)
      U261(X1,mark(X2)) -> U261(X1,X2)
      U261(active(X1),X2) -> U261(X1,X2)
      U261(X1,active(X2)) -> U261(X1,X2)
      U262(mark(X)) -> U262(X)
      U262(active(X)) -> U262(X)
      U271(mark(X1),X2) -> U271(X1,X2)
      U271(X1,mark(X2)) -> U271(X1,X2)
      U271(active(X1),X2) -> U271(X1,X2)
      U271(X1,active(X2)) -> U271(X1,X2)
      U272(mark(X)) -> U272(X)
      U272(active(X)) -> U272(X)
      U281(mark(X1),X2) -> U281(X1,X2)
      U281(X1,mark(X2)) -> U281(X1,X2)
      U281(active(X1),X2) -> U281(X1,X2)
      U281(X1,active(X2)) -> U281(X1,X2)
      U282(mark(X1),X2) -> U282(X1,X2)
      U282(X1,mark(X2)) -> U282(X1,X2)
      U282(active(X1),X2) -> U282(X1,X2)
      U282(X1,active(X2)) -> U282(X1,X2)
      cons(mark(X1),X2) -> cons(X1,X2)
      cons(X1,mark(X2)) -> cons(X1,X2)
      cons(active(X1),X2) -> cons(X1,X2)
      cons(X1,active(X2)) -> cons(X1,X2)
      natsFrom(mark(X)) -> natsFrom(X)
      natsFrom(active(X)) -> natsFrom(X)
      s(mark(X)) -> s(X)
      s(active(X)) -> s(X)
      U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
      U291(active(X1),X2,X3) -> U291(X1,X2,X3)
      U291(X1,active(X2),X3) -> U291(X1,X2,X3)
      U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
      U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
      U292(active(X1),X2,X3) -> U292(X1,X2,X3)
      U292(X1,active(X2),X3) -> U292(X1,X2,X3)
      U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
      U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
      U293(active(X1),X2,X3) -> U293(X1,X2,X3)
      U293(X1,active(X2),X3) -> U293(X1,X2,X3)
      U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
      U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
      U294(active(X1),X2,X3) -> U294(X1,X2,X3)
      U294(X1,active(X2),X3) -> U294(X1,X2,X3)
      U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
      head(mark(X)) -> head(X)
      head(active(X)) -> head(X)
      afterNth(mark(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,mark(X2)) -> afterNth(X1,X2)
      afterNth(active(X1),X2) -> afterNth(X1,X2)
      afterNth(X1,active(X2)) -> afterNth(X1,X2)
      U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
      U301(active(X1),X2,X3) -> U301(X1,X2,X3)
      U301(X1,active(X2),X3) -> U301(X1,X2,X3)
      U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
      U302(mark(X1),X2) -> U302(X1,X2)
      U302(X1,mark(X2)) -> U302(X1,X2)
      U302(active(X1),X2) -> U302(X1,X2)
      U302(X1,active(X2)) -> U302(X1,X2)
      U303(mark(X1),X2) -> U303(X1,X2)
      U303(X1,mark(X2)) -> U303(X1,X2)
      U303(active(X1),X2) -> U303(X1,X2)
      U303(X1,active(X2)) -> U303(X1,X2)
      U304(mark(X1),X2) -> U304(X1,X2)
      U304(X1,mark(X2)) -> U304(X1,X2)
      U304(active(X1),X2) -> U304(X1,X2)
      U304(X1,active(X2)) -> U304(X1,X2)
      U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
      U31(active(X1),X2,X3) -> U31(X1,X2,X3)
      U31(X1,active(X2),X3) -> U31(X1,X2,X3)
      U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
      U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
      U32(active(X1),X2,X3) -> U32(X1,X2,X3)
      U32(X1,active(X2),X3) -> U32(X1,X2,X3)
      U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
      U311(mark(X1),X2) -> U311(X1,X2)
      U311(X1,mark(X2)) -> U311(X1,X2)
      U311(active(X1),X2) -> U311(X1,X2)
      U311(X1,active(X2)) -> U311(X1,X2)
      U312(mark(X1),X2) -> U312(X1,X2)
      U312(X1,mark(X2)) -> U312(X1,X2)
      U312(active(X1),X2) -> U312(X1,X2)
      U312(X1,active(X2)) -> U312(X1,X2)
      pair(mark(X1),X2) -> pair(X1,X2)
      pair(X1,mark(X2)) -> pair(X1,X2)
      pair(active(X1),X2) -> pair(X1,X2)
      pair(X1,active(X2)) -> pair(X1,X2)
      U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
      U33(active(X1),X2,X3) -> U33(X1,X2,X3)
      U33(X1,active(X2),X3) -> U33(X1,X2,X3)
      U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
      U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
      U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
      U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
      U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
      U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
      U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
      U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
      U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
      U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
      U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
      U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
      U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
      U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
      U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
      U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
      U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
      U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
      U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
      U327(mark(X1),X2) -> U327(X1,X2)
      U327(X1,mark(X2)) -> U327(X1,X2)
      U327(active(X1),X2) -> U327(X1,X2)
      U327(X1,active(X2)) -> U327(X1,X2)
      U34(mark(X1),X2) -> U34(X1,X2)
      U34(X1,mark(X2)) -> U34(X1,X2)
      U34(active(X1),X2) -> U34(X1,X2)
      U34(X1,active(X2)) -> U34(X1,X2)
      U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
      U331(active(X1),X2,X3) -> U331(X1,X2,X3)
      U331(X1,active(X2),X3) -> U331(X1,X2,X3)
      U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
      U332(mark(X1),X2) -> U332(X1,X2)
      U332(X1,mark(X2)) -> U332(X1,X2)
      U332(active(X1),X2) -> U332(X1,X2)
      U332(X1,active(X2)) -> U332(X1,X2)
      U333(mark(X1),X2) -> U333(X1,X2)
      U333(X1,mark(X2)) -> U333(X1,X2)
      U333(active(X1),X2) -> U333(X1,X2)
      U333(X1,active(X2)) -> U333(X1,X2)
      U334(mark(X1),X2) -> U334(X1,X2)
      U334(X1,mark(X2)) -> U334(X1,X2)
      U334(active(X1),X2) -> U334(X1,X2)
      U334(X1,active(X2)) -> U334(X1,X2)
      U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
      U341(active(X1),X2,X3) -> U341(X1,X2,X3)
      U341(X1,active(X2),X3) -> U341(X1,X2,X3)
      U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
      U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
      U342(active(X1),X2,X3) -> U342(X1,X2,X3)
      U342(X1,active(X2),X3) -> U342(X1,X2,X3)
      U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
      U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
      U343(active(X1),X2,X3) -> U343(X1,X2,X3)
      U343(X1,active(X2),X3) -> U343(X1,X2,X3)
      U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
      U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
      U344(active(X1),X2,X3) -> U344(X1,X2,X3)
      U344(X1,active(X2),X3) -> U344(X1,X2,X3)
      U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
      fst(mark(X)) -> fst(X)
      fst(active(X)) -> fst(X)
      U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
      U41(active(X1),X2,X3) -> U41(X1,X2,X3)
      U41(X1,active(X2),X3) -> U41(X1,X2,X3)
      U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
      U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
      U42(active(X1),X2,X3) -> U42(X1,X2,X3)
      U42(X1,active(X2),X3) -> U42(X1,X2,X3)
      U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
      U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
      U43(active(X1),X2,X3) -> U43(X1,X2,X3)
      U43(X1,active(X2),X3) -> U43(X1,X2,X3)
      U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
      U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
      U44(active(X1),X2,X3) -> U44(X1,X2,X3)
      U44(X1,active(X2),X3) -> U44(X1,X2,X3)
      U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
      U45(mark(X1),X2) -> U45(X1,X2)
      U45(X1,mark(X2)) -> U45(X1,X2)
      U45(active(X1),X2) -> U45(X1,X2)
      U45(X1,active(X2)) -> U45(X1,X2)
      U46(mark(X)) -> U46(X)
      U46(active(X)) -> U46(X)
      U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
      U51(active(X1),X2,X3) -> U51(X1,X2,X3)
      U51(X1,active(X2),X3) -> U51(X1,X2,X3)
      U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
      U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
      U52(active(X1),X2,X3) -> U52(X1,X2,X3)
      U52(X1,active(X2),X3) -> U52(X1,X2,X3)
      U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
      U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
      U53(active(X1),X2,X3) -> U53(X1,X2,X3)
      U53(X1,active(X2),X3) -> U53(X1,X2,X3)
      U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
      U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
      U54(active(X1),X2,X3) -> U54(X1,X2,X3)
      U54(X1,active(X2),X3) -> U54(X1,X2,X3)
      U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
      U55(mark(X1),X2) -> U55(X1,X2)
      U55(X1,mark(X2)) -> U55(X1,X2)
      U55(active(X1),X2) -> U55(X1,X2)
      U55(X1,active(X2)) -> U55(X1,X2)
      U56(mark(X)) -> U56(X)
      U56(active(X)) -> U56(X)
      U61(mark(X1),X2) -> U61(X1,X2)
      U61(X1,mark(X2)) -> U61(X1,X2)
      U61(active(X1),X2) -> U61(X1,X2)
      U61(X1,active(X2)) -> U61(X1,X2)
      U62(mark(X1),X2) -> U62(X1,X2)
      U62(X1,mark(X2)) -> U62(X1,X2)
      U62(active(X1),X2) -> U62(X1,X2)
      U62(X1,active(X2)) -> U62(X1,X2)
      isPLNatKind(mark(X)) -> isPLNatKind(X)
      isPLNatKind(active(X)) -> isPLNatKind(X)
      U63(mark(X)) -> U63(X)
      U63(active(X)) -> U63(X)
      isPLNat(mark(X)) -> isPLNat(X)
      isPLNat(active(X)) -> isPLNat(X)
      U71(mark(X1),X2) -> U71(X1,X2)
      U71(X1,mark(X2)) -> U71(X1,X2)
      U71(active(X1),X2) -> U71(X1,X2)
      U71(X1,active(X2)) -> U71(X1,X2)
      U72(mark(X1),X2) -> U72(X1,X2)
      U72(X1,mark(X2)) -> U72(X1,X2)
      U72(active(X1),X2) -> U72(X1,X2)
      U72(X1,active(X2)) -> U72(X1,X2)
      U73(mark(X)) -> U73(X)
      U73(active(X)) -> U73(X)
      U81(mark(X1),X2) -> U81(X1,X2)
      U81(X1,mark(X2)) -> U81(X1,X2)
      U81(active(X1),X2) -> U81(X1,X2)
      U81(X1,active(X2)) -> U81(X1,X2)
      U82(mark(X1),X2) -> U82(X1,X2)
      U82(X1,mark(X2)) -> U82(X1,X2)
      U82(active(X1),X2) -> U82(X1,X2)
      U82(X1,active(X2)) -> U82(X1,X2)
      U83(mark(X)) -> U83(X)
      U83(active(X)) -> U83(X)
      U91(mark(X1),X2) -> U91(X1,X2)
      U91(X1,mark(X2)) -> U91(X1,X2)
      U91(active(X1),X2) -> U91(X1,X2)
      U91(X1,active(X2)) -> U91(X1,X2)
      U92(mark(X1),X2) -> U92(X1,X2)
      U92(X1,mark(X2)) -> U92(X1,X2)
      U92(active(X1),X2) -> U92(X1,X2)
      U92(X1,active(X2)) -> U92(X1,X2)
      U93(mark(X)) -> U93(X)
      U93(active(X)) -> U93(X)
      tail(mark(X)) -> tail(X)
      tail(active(X)) -> tail(X)
      take(mark(X1),X2) -> take(X1,X2)
      take(X1,mark(X2)) -> take(X1,X2)
      take(active(X1),X2) -> take(X1,X2)
      take(X1,active(X2)) -> take(X1,X2)
      sel(mark(X1),X2) -> sel(X1,X2)
      sel(X1,mark(X2)) -> sel(X1,X2)
      sel(active(X1),X2) -> sel(X1,X2)
      sel(X1,active(X2)) -> sel(X1,X2)
     Open